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Finding the Fourth Proportional to 712.73, 984.41 and 565.11

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Solution

The fourth proportional to 712.73, 984.41 and 565.11 is: 780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 984.41 = 565.11 : x
  2. Step 2: Convert to fraction form
    712.73/984.41 = 565.11/x
  3. Step 3: Cross multiply
    712.73x = 984.41 × 565.11
  4. Step 4: Simplify right side
    712.73x = 556,297.11
  5. Step 5: Solve for x
    x = 556,297.11/712.73
  6. Step 6: Final answer
    x = 780.52

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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.