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Finding the Fourth Proportional to 1,597.71, 2,397.18 and 557.82

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Solution

The fourth proportional to 1,597.71, 2,397.18 and 557.82 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.71 : 2,397.18 = 557.82 : x
  2. Step 2: Convert to fraction form
    1,597.71/2,397.18 = 557.82/x
  3. Step 3: Cross multiply
    1,597.71x = 2,397.18 × 557.82
  4. Step 4: Simplify right side
    1,597.71x = 1,337,194.95
  5. Step 5: Solve for x
    x = 1,337,194.95/1,597.71
  6. Step 6: Final answer
    x = 836.94

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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.