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Finding the Fourth Proportional to 732.69, 1,011 and 437.94

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Solution

The fourth proportional to 732.69, 1,011 and 437.94 is: 604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.69 : 1,011 = 437.94 : x
  2. Step 2: Convert to fraction form
    732.69/1,011 = 437.94/x
  3. Step 3: Cross multiply
    732.69x = 1,011 × 437.94
  4. Step 4: Simplify right side
    732.69x = 442,757.34
  5. Step 5: Solve for x
    x = 442,757.34/732.69
  6. Step 6: Final answer
    x = 604.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.