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Finding the Fourth Proportional to 1,256.31, 1,884.47 and 768.49

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Solution

The fourth proportional to 1,256.31, 1,884.47 and 768.49 is: 1,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.31 : 1,884.47 = 768.49 : x
  2. Step 2: Convert to fraction form
    1,256.31/1,884.47 = 768.49/x
  3. Step 3: Cross multiply
    1,256.31x = 1,884.47 × 768.49
  4. Step 4: Simplify right side
    1,256.31x = 1,448,187.80
  5. Step 5: Solve for x
    x = 1,448,187.80/1,256.31
  6. Step 6: Final answer
    x = 1,152.73

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.