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Finding the Fourth Proportional to 732.02, 1,098.72 and 385.61

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Solution

The fourth proportional to 732.02, 1,098.72 and 385.61 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.02 : 1,098.72 = 385.61 : x
  2. Step 2: Convert to fraction form
    732.02/1,098.72 = 385.61/x
  3. Step 3: Cross multiply
    732.02x = 1,098.72 × 385.61
  4. Step 4: Simplify right side
    732.02x = 423,671.93
  5. Step 5: Solve for x
    x = 423,671.93/732.02
  6. Step 6: Final answer
    x = 578.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.