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Finding the Fourth Proportional to 1,472.14, 2,208.08 and 498.26

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Solution

The fourth proportional to 1,472.14, 2,208.08 and 498.26 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.14 : 2,208.08 = 498.26 : x
  2. Step 2: Convert to fraction form
    1,472.14/2,208.08 = 498.26/x
  3. Step 3: Cross multiply
    1,472.14x = 2,208.08 × 498.26
  4. Step 4: Simplify right side
    1,472.14x = 1,100,197.94
  5. Step 5: Solve for x
    x = 1,100,197.94/1,472.14
  6. Step 6: Final answer
    x = 747.35

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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.