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Finding the Fourth Proportional to 1,072.76, 1,480.47 and 810.32

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Solution

The fourth proportional to 1,072.76, 1,480.47 and 810.32 is: 1,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.76 : 1,480.47 = 810.32 : x
  2. Step 2: Convert to fraction form
    1,072.76/1,480.47 = 810.32/x
  3. Step 3: Cross multiply
    1,072.76x = 1,480.47 × 810.32
  4. Step 4: Simplify right side
    1,072.76x = 1,199,654.45
  5. Step 5: Solve for x
    x = 1,199,654.45/1,072.76
  6. Step 6: Final answer
    x = 1,118.29

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.