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Finding the Fourth Proportional to 1,498.75, 2,248.50 and 472.75

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Solution

The fourth proportional to 1,498.75, 2,248.50 and 472.75 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.75 : 2,248.50 = 472.75 : x
  2. Step 2: Convert to fraction form
    1,498.75/2,248.50 = 472.75/x
  3. Step 3: Cross multiply
    1,498.75x = 2,248.50 × 472.75
  4. Step 4: Simplify right side
    1,498.75x = 1,062,978.38
  5. Step 5: Solve for x
    x = 1,062,978.38/1,498.75
  6. Step 6: Final answer
    x = 709.24

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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.