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Finding the Fourth Proportional to 1,011.27, 1,394.95 and 617.61

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Solution

The fourth proportional to 1,011.27, 1,394.95 and 617.61 is: 851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.27 : 1,394.95 = 617.61 : x
  2. Step 2: Convert to fraction form
    1,011.27/1,394.95 = 617.61/x
  3. Step 3: Cross multiply
    1,011.27x = 1,394.95 × 617.61
  4. Step 4: Simplify right side
    1,011.27x = 861,531.98
  5. Step 5: Solve for x
    x = 861,531.98/1,011.27
  6. Step 6: Final answer
    x = 851.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.