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Finding the Fourth Proportional to 785.22, 1,177.20 and 542.22

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Solution

The fourth proportional to 785.22, 1,177.20 and 542.22 is: 812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.22 : 1,177.20 = 542.22 : x
  2. Step 2: Convert to fraction form
    785.22/1,177.20 = 542.22/x
  3. Step 3: Cross multiply
    785.22x = 1,177.20 × 542.22
  4. Step 4: Simplify right side
    785.22x = 638,301.38
  5. Step 5: Solve for x
    x = 638,301.38/785.22
  6. Step 6: Final answer
    x = 812.89

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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.