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Finding the Fourth Proportional to 732.49, 1,010.86 and 400.94

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Solution

The fourth proportional to 732.49, 1,010.86 and 400.94 is: 553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.49 : 1,010.86 = 400.94 : x
  2. Step 2: Convert to fraction form
    732.49/1,010.86 = 400.94/x
  3. Step 3: Cross multiply
    732.49x = 1,010.86 × 400.94
  4. Step 4: Simplify right side
    732.49x = 405,294.21
  5. Step 5: Solve for x
    x = 405,294.21/732.49
  6. Step 6: Final answer
    x = 553.31

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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.