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Finding the Fourth Proportional to 732.09, 1,010.24 and 400.50

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Solution

The fourth proportional to 732.09, 1,010.24 and 400.50 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.09 : 1,010.24 = 400.50 : x
  2. Step 2: Convert to fraction form
    732.09/1,010.24 = 400.50/x
  3. Step 3: Cross multiply
    732.09x = 1,010.24 × 400.50
  4. Step 4: Simplify right side
    732.09x = 404,595.07
  5. Step 5: Solve for x
    x = 404,595.07/732.09
  6. Step 6: Final answer
    x = 552.66

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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.