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Finding the Fourth Proportional to 854.92, 1,282.40 and 564.28

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Solution

The fourth proportional to 854.92, 1,282.40 and 564.28 is: 846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.92 : 1,282.40 = 564.28 : x
  2. Step 2: Convert to fraction form
    854.92/1,282.40 = 564.28/x
  3. Step 3: Cross multiply
    854.92x = 1,282.40 × 564.28
  4. Step 4: Simplify right side
    854.92x = 723,632.67
  5. Step 5: Solve for x
    x = 723,632.67/854.92
  6. Step 6: Final answer
    x = 846.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.