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Finding the Fourth Proportional to 1,256.33, 1,884.50 and 434.16

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Solution

The fourth proportional to 1,256.33, 1,884.50 and 434.16 is: 651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.33 : 1,884.50 = 434.16 : x
  2. Step 2: Convert to fraction form
    1,256.33/1,884.50 = 434.16/x
  3. Step 3: Cross multiply
    1,256.33x = 1,884.50 × 434.16
  4. Step 4: Simplify right side
    1,256.33x = 818,163.47
  5. Step 5: Solve for x
    x = 818,163.47/1,256.33
  6. Step 6: Final answer
    x = 651.23

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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.