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Finding the Fourth Proportional to 1,472.31, 2,208.76 and 432.34

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Solution

The fourth proportional to 1,472.31, 2,208.76 and 432.34 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.31 : 2,208.76 = 432.34 : x
  2. Step 2: Convert to fraction form
    1,472.31/2,208.76 = 432.34/x
  3. Step 3: Cross multiply
    1,472.31x = 2,208.76 × 432.34
  4. Step 4: Simplify right side
    1,472.31x = 954,935.30
  5. Step 5: Solve for x
    x = 954,935.30/1,472.31
  6. Step 6: Final answer
    x = 648.60

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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.