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Finding the Fourth Proportional to 1,067.53, 1,472.16 and 752.71

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Solution

The fourth proportional to 1,067.53, 1,472.16 and 752.71 is: 1,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.53 : 1,472.16 = 752.71 : x
  2. Step 2: Convert to fraction form
    1,067.53/1,472.16 = 752.71/x
  3. Step 3: Cross multiply
    1,067.53x = 1,472.16 × 752.71
  4. Step 4: Simplify right side
    1,067.53x = 1,108,109.55
  5. Step 5: Solve for x
    x = 1,108,109.55/1,067.53
  6. Step 6: Final answer
    x = 1,038.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.