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Finding the Fourth Proportional to 853.02, 1,177.20 and 542.52

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Solution

The fourth proportional to 853.02, 1,177.20 and 542.52 is: 748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.02 : 1,177.20 = 542.52 : x
  2. Step 2: Convert to fraction form
    853.02/1,177.20 = 542.52/x
  3. Step 3: Cross multiply
    853.02x = 1,177.20 × 542.52
  4. Step 4: Simplify right side
    853.02x = 638,654.54
  5. Step 5: Solve for x
    x = 638,654.54/853.02
  6. Step 6: Final answer
    x = 748.70

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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.