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Finding the Fourth Proportional to 1,031.06, 1,542.71 and 723.52

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Solution

The fourth proportional to 1,031.06, 1,542.71 and 723.52 is: 1,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,542.71 = 723.52 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,542.71 = 723.52/x
  3. Step 3: Cross multiply
    1,031.06x = 1,542.71 × 723.52
  4. Step 4: Simplify right side
    1,031.06x = 1,116,185.28
  5. Step 5: Solve for x
    x = 1,116,185.28/1,031.06
  6. Step 6: Final answer
    x = 1,082.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.