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Finding the Fourth Proportional to 874.20, 1,309.68 and 585.12

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Solution

The fourth proportional to 874.20, 1,309.68 and 585.12 is: 876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,309.68 = 585.12 : x
  2. Step 2: Convert to fraction form
    874.20/1,309.68 = 585.12/x
  3. Step 3: Cross multiply
    874.20x = 1,309.68 × 585.12
  4. Step 4: Simplify right side
    874.20x = 766,319.96
  5. Step 5: Solve for x
    x = 766,319.96/874.20
  6. Step 6: Final answer
    x = 876.60

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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.