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Finding the Fourth Proportional to 654.60, 985.47 and 565.32

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Solution

The fourth proportional to 654.60, 985.47 and 565.32 is: 851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 985.47 = 565.32 : x
  2. Step 2: Convert to fraction form
    654.60/985.47 = 565.32/x
  3. Step 3: Cross multiply
    654.60x = 985.47 × 565.32
  4. Step 4: Simplify right side
    654.60x = 557,105.90
  5. Step 5: Solve for x
    x = 557,105.90/654.60
  6. Step 6: Final answer
    x = 851.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.