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Finding the Fourth Proportional to 732.64, 1,010.66 and 512.12

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Solution

The fourth proportional to 732.64, 1,010.66 and 512.12 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.64 : 1,010.66 = 512.12 : x
  2. Step 2: Convert to fraction form
    732.64/1,010.66 = 512.12/x
  3. Step 3: Cross multiply
    732.64x = 1,010.66 × 512.12
  4. Step 4: Simplify right side
    732.64x = 517,574.15
  5. Step 5: Solve for x
    x = 517,574.15/732.64
  6. Step 6: Final answer
    x = 706.45

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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.