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Finding the Fourth Proportional to 674.92, 1,014.30 and 432.04

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Solution

The fourth proportional to 674.92, 1,014.30 and 432.04 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 1,014.30 = 432.04 : x
  2. Step 2: Convert to fraction form
    674.92/1,014.30 = 432.04/x
  3. Step 3: Cross multiply
    674.92x = 1,014.30 × 432.04
  4. Step 4: Simplify right side
    674.92x = 438,218.17
  5. Step 5: Solve for x
    x = 438,218.17/674.92
  6. Step 6: Final answer
    x = 649.29

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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.