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Finding the Fourth Proportional to 785.68, 1,177.62 and 542.32

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Solution

The fourth proportional to 785.68, 1,177.62 and 542.32 is: 812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.68 : 1,177.62 = 542.32 : x
  2. Step 2: Convert to fraction form
    785.68/1,177.62 = 542.32/x
  3. Step 3: Cross multiply
    785.68x = 1,177.62 × 542.32
  4. Step 4: Simplify right side
    785.68x = 638,646.88
  5. Step 5: Solve for x
    x = 638,646.88/785.68
  6. Step 6: Final answer
    x = 812.86

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Why These Related Problems?

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