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Finding the Fourth Proportional to 1,472.07, 2,207.97 and 498.06

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Solution

The fourth proportional to 1,472.07, 2,207.97 and 498.06 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.07 : 2,207.97 = 498.06 : x
  2. Step 2: Convert to fraction form
    1,472.07/2,207.97 = 498.06/x
  3. Step 3: Cross multiply
    1,472.07x = 2,207.97 × 498.06
  4. Step 4: Simplify right side
    1,472.07x = 1,099,701.54
  5. Step 5: Solve for x
    x = 1,099,701.54/1,472.07
  6. Step 6: Final answer
    x = 747.04

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Why These Related Problems?

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