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Finding the Fourth Proportional to 1,011.85, 1,517.27 and 463.57

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Solution

The fourth proportional to 1,011.85, 1,517.27 and 463.57 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.85 : 1,517.27 = 463.57 : x
  2. Step 2: Convert to fraction form
    1,011.85/1,517.27 = 463.57/x
  3. Step 3: Cross multiply
    1,011.85x = 1,517.27 × 463.57
  4. Step 4: Simplify right side
    1,011.85x = 703,354.74
  5. Step 5: Solve for x
    x = 703,354.74/1,011.85
  6. Step 6: Final answer
    x = 695.12

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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.