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Finding the Fourth Proportional to 1,398.52, 2,098.03 and 473.88

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Solution

The fourth proportional to 1,398.52, 2,098.03 and 473.88 is: 710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.52 : 2,098.03 = 473.88 : x
  2. Step 2: Convert to fraction form
    1,398.52/2,098.03 = 473.88/x
  3. Step 3: Cross multiply
    1,398.52x = 2,098.03 × 473.88
  4. Step 4: Simplify right side
    1,398.52x = 994,214.46
  5. Step 5: Solve for x
    x = 994,214.46/1,398.52
  6. Step 6: Final answer
    x = 710.90

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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.