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Finding the Fourth Proportional to 1,517.22, 2,275.95 and 529.86

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Solution

The fourth proportional to 1,517.22, 2,275.95 and 529.86 is: 794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.22 : 2,275.95 = 529.86 : x
  2. Step 2: Convert to fraction form
    1,517.22/2,275.95 = 529.86/x
  3. Step 3: Cross multiply
    1,517.22x = 2,275.95 × 529.86
  4. Step 4: Simplify right side
    1,517.22x = 1,205,934.87
  5. Step 5: Solve for x
    x = 1,205,934.87/1,517.22
  6. Step 6: Final answer
    x = 794.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.