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Finding the Fourth Proportional to 1,472.24, 2,208.36 and 498.31

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Solution

The fourth proportional to 1,472.24, 2,208.36 and 498.31 is: 747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.24 : 2,208.36 = 498.31 : x
  2. Step 2: Convert to fraction form
    1,472.24/2,208.36 = 498.31/x
  3. Step 3: Cross multiply
    1,472.24x = 2,208.36 × 498.31
  4. Step 4: Simplify right side
    1,472.24x = 1,100,450.90
  5. Step 5: Solve for x
    x = 1,100,450.90/1,472.24
  6. Step 6: Final answer
    x = 747.47

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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.