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Finding the Fourth Proportional to 1,517.46, 2,276.19 and 695.63

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Solution

The fourth proportional to 1,517.46, 2,276.19 and 695.63 is: 1,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.46 : 2,276.19 = 695.63 : x
  2. Step 2: Convert to fraction form
    1,517.46/2,276.19 = 695.63/x
  3. Step 3: Cross multiply
    1,517.46x = 2,276.19 × 695.63
  4. Step 4: Simplify right side
    1,517.46x = 1,583,374.76
  5. Step 5: Solve for x
    x = 1,583,374.76/1,517.46
  6. Step 6: Final answer
    x = 1,043.44

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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.