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Finding the Fourth Proportional to 1,522.08, 2,282.72 and 656.20

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Solution

The fourth proportional to 1,522.08, 2,282.72 and 656.20 is: 984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.08 : 2,282.72 = 656.20 : x
  2. Step 2: Convert to fraction form
    1,522.08/2,282.72 = 656.20/x
  3. Step 3: Cross multiply
    1,522.08x = 2,282.72 × 656.20
  4. Step 4: Simplify right side
    1,522.08x = 1,497,920.86
  5. Step 5: Solve for x
    x = 1,497,920.86/1,522.08
  6. Step 6: Final answer
    x = 984.13

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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.