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Finding the Fourth Proportional to 674.76, 1,012.95 and 432.30

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Solution

The fourth proportional to 674.76, 1,012.95 and 432.30 is: 648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 1,012.95 = 432.30 : x
  2. Step 2: Convert to fraction form
    674.76/1,012.95 = 432.30/x
  3. Step 3: Cross multiply
    674.76x = 1,012.95 × 432.30
  4. Step 4: Simplify right side
    674.76x = 437,898.29
  5. Step 5: Solve for x
    x = 437,898.29/674.76
  6. Step 6: Final answer
    x = 648.97

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