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Finding the Fourth Proportional to 854.60, 1,179.05 and 560.03

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Solution

The fourth proportional to 854.60, 1,179.05 and 560.03 is: 772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.60 : 1,179.05 = 560.03 : x
  2. Step 2: Convert to fraction form
    854.60/1,179.05 = 560.03/x
  3. Step 3: Cross multiply
    854.60x = 1,179.05 × 560.03
  4. Step 4: Simplify right side
    854.60x = 660,294.68
  5. Step 5: Solve for x
    x = 660,294.68/854.60
  6. Step 6: Final answer
    x = 772.64

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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.