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Finding the Fourth Proportional to 752.70, 1,127.34 and 463.62

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Solution

The fourth proportional to 752.70, 1,127.34 and 463.62 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.70 : 1,127.34 = 463.62 : x
  2. Step 2: Convert to fraction form
    752.70/1,127.34 = 463.62/x
  3. Step 3: Cross multiply
    752.70x = 1,127.34 × 463.62
  4. Step 4: Simplify right side
    752.70x = 522,657.37
  5. Step 5: Solve for x
    x = 522,657.37/752.70
  6. Step 6: Final answer
    x = 694.38

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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.