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Finding the Fourth Proportional to 956, 1,319.28 and 542.08

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Solution

The fourth proportional to 956, 1,319.28 and 542.08 is: 748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    956 : 1,319.28 = 542.08 : x
  2. Step 2: Convert to fraction form
    956/1,319.28 = 542.08/x
  3. Step 3: Cross multiply
    956x = 1,319.28 × 542.08
  4. Step 4: Simplify right side
    956x = 715,155.30
  5. Step 5: Solve for x
    x = 715,155.30/956
  6. Step 6: Final answer
    x = 748.07

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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.