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Finding the Fourth Proportional to 732.76, 1,010.64 and 437.97

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Solution

The fourth proportional to 732.76, 1,010.64 and 437.97 is: 604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.76 : 1,010.64 = 437.97 : x
  2. Step 2: Convert to fraction form
    732.76/1,010.64 = 437.97/x
  3. Step 3: Cross multiply
    732.76x = 1,010.64 × 437.97
  4. Step 4: Simplify right side
    732.76x = 442,630.00
  5. Step 5: Solve for x
    x = 442,630.00/732.76
  6. Step 6: Final answer
    x = 604.06

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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.