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Finding the Fourth Proportional to 757.60, 1,132.80 and 563.20

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Solution

The fourth proportional to 757.60, 1,132.80 and 563.20 is: 842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.60 : 1,132.80 = 563.20 : x
  2. Step 2: Convert to fraction form
    757.60/1,132.80 = 563.20/x
  3. Step 3: Cross multiply
    757.60x = 1,132.80 × 563.20
  4. Step 4: Simplify right side
    757.60x = 637,992.96
  5. Step 5: Solve for x
    x = 637,992.96/757.60
  6. Step 6: Final answer
    x = 842.12

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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.