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Finding the Fourth Proportional to 1,125.06, 1,687.71 and 432.32

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Solution

The fourth proportional to 1,125.06, 1,687.71 and 432.32 is: 648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.06 : 1,687.71 = 432.32 : x
  2. Step 2: Convert to fraction form
    1,125.06/1,687.71 = 432.32/x
  3. Step 3: Cross multiply
    1,125.06x = 1,687.71 × 432.32
  4. Step 4: Simplify right side
    1,125.06x = 729,630.79
  5. Step 5: Solve for x
    x = 729,630.79/1,125.06
  6. Step 6: Final answer
    x = 648.53

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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.