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Finding the Fourth Proportional to 854.14, 1,177.66 and 712.42

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Solution

The fourth proportional to 854.14, 1,177.66 and 712.42 is: 982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.14 : 1,177.66 = 712.42 : x
  2. Step 2: Convert to fraction form
    854.14/1,177.66 = 712.42/x
  3. Step 3: Cross multiply
    854.14x = 1,177.66 × 712.42
  4. Step 4: Simplify right side
    854.14x = 838,979.09
  5. Step 5: Solve for x
    x = 838,979.09/854.14
  6. Step 6: Final answer
    x = 982.25

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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.