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Finding the Fourth Proportional to 1,517.74, 2,276.57 and 477.70

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Solution

The fourth proportional to 1,517.74, 2,276.57 and 477.70 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.74 : 2,276.57 = 477.70 : x
  2. Step 2: Convert to fraction form
    1,517.74/2,276.57 = 477.70/x
  3. Step 3: Cross multiply
    1,517.74x = 2,276.57 × 477.70
  4. Step 4: Simplify right side
    1,517.74x = 1,087,512.99
  5. Step 5: Solve for x
    x = 1,087,512.99/1,517.74
  6. Step 6: Final answer
    x = 716.54

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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.