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Finding the Fourth Proportional to 853.18, 1,177.32 and 557.98

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Solution

The fourth proportional to 853.18, 1,177.32 and 557.98 is: 769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.18 : 1,177.32 = 557.98 : x
  2. Step 2: Convert to fraction form
    853.18/1,177.32 = 557.98/x
  3. Step 3: Cross multiply
    853.18x = 1,177.32 × 557.98
  4. Step 4: Simplify right side
    853.18x = 656,921.01
  5. Step 5: Solve for x
    x = 656,921.01/853.18
  6. Step 6: Final answer
    x = 769.97

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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.