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Finding the Fourth Proportional to 1,598.14, 2,397.82 and 624.92

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Solution

The fourth proportional to 1,598.14, 2,397.82 and 624.92 is: 937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.14 : 2,397.82 = 624.92 : x
  2. Step 2: Convert to fraction form
    1,598.14/2,397.82 = 624.92/x
  3. Step 3: Cross multiply
    1,598.14x = 2,397.82 × 624.92
  4. Step 4: Simplify right side
    1,598.14x = 1,498,445.67
  5. Step 5: Solve for x
    x = 1,498,445.67/1,598.14
  6. Step 6: Final answer
    x = 937.62

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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.