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Finding the Fourth Proportional to 1,517.06, 2,275.58 and 477.15

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Solution

The fourth proportional to 1,517.06, 2,275.58 and 477.15 is: 715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.06 : 2,275.58 = 477.15 : x
  2. Step 2: Convert to fraction form
    1,517.06/2,275.58 = 477.15/x
  3. Step 3: Cross multiply
    1,517.06x = 2,275.58 × 477.15
  4. Step 4: Simplify right side
    1,517.06x = 1,085,785.66
  5. Step 5: Solve for x
    x = 1,085,785.66/1,517.06
  6. Step 6: Final answer
    x = 715.72

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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.