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Finding the Fourth Proportional to 853.31, 1,177.56 and 499.47

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Solution

The fourth proportional to 853.31, 1,177.56 and 499.47 is: 689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.31 : 1,177.56 = 499.47 : x
  2. Step 2: Convert to fraction form
    853.31/1,177.56 = 499.47/x
  3. Step 3: Cross multiply
    853.31x = 1,177.56 × 499.47
  4. Step 4: Simplify right side
    853.31x = 588,155.89
  5. Step 5: Solve for x
    x = 588,155.89/853.31
  6. Step 6: Final answer
    x = 689.27

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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.