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Finding the Fourth Proportional to 752.40, 1,127.88 and 491.76

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Solution

The fourth proportional to 752.40, 1,127.88 and 491.76 is: 737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.40 : 1,127.88 = 491.76 : x
  2. Step 2: Convert to fraction form
    752.40/1,127.88 = 491.76/x
  3. Step 3: Cross multiply
    752.40x = 1,127.88 × 491.76
  4. Step 4: Simplify right side
    752.40x = 554,646.27
  5. Step 5: Solve for x
    x = 554,646.27/752.40
  6. Step 6: Final answer
    x = 737.17

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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.