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Finding the Fourth Proportional to 732.67, 1,011.14 and 438.03

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Solution

The fourth proportional to 732.67, 1,011.14 and 438.03 is: 604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.67 : 1,011.14 = 438.03 : x
  2. Step 2: Convert to fraction form
    732.67/1,011.14 = 438.03/x
  3. Step 3: Cross multiply
    732.67x = 1,011.14 × 438.03
  4. Step 4: Simplify right side
    732.67x = 442,909.65
  5. Step 5: Solve for x
    x = 442,909.65/732.67
  6. Step 6: Final answer
    x = 604.51

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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.