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Finding the Fourth Proportional to 732.92, 1,011.11 and 437.98

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Solution

The fourth proportional to 732.92, 1,011.11 and 437.98 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.92 : 1,011.11 = 437.98 : x
  2. Step 2: Convert to fraction form
    732.92/1,011.11 = 437.98/x
  3. Step 3: Cross multiply
    732.92x = 1,011.11 × 437.98
  4. Step 4: Simplify right side
    732.92x = 442,845.96
  5. Step 5: Solve for x
    x = 442,845.96/732.92
  6. Step 6: Final answer
    x = 604.22

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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.