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Finding the Fourth Proportional to 956.02, 1,319.26 and 542.02

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Solution

The fourth proportional to 956.02, 1,319.26 and 542.02 is: 747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.02 : 1,319.26 = 542.02 : x
  2. Step 2: Convert to fraction form
    956.02/1,319.26 = 542.02/x
  3. Step 3: Cross multiply
    956.02x = 1,319.26 × 542.02
  4. Step 4: Simplify right side
    956.02x = 715,065.31
  5. Step 5: Solve for x
    x = 715,065.31/956.02
  6. Step 6: Final answer
    x = 747.96

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Why These Related Problems?

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