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Finding the Fourth Proportional to 1,387.80, 2,082.46 and 771.16

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Solution

The fourth proportional to 1,387.80, 2,082.46 and 771.16 is: 1,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.80 : 2,082.46 = 771.16 : x
  2. Step 2: Convert to fraction form
    1,387.80/2,082.46 = 771.16/x
  3. Step 3: Cross multiply
    1,387.80x = 2,082.46 × 771.16
  4. Step 4: Simplify right side
    1,387.80x = 1,605,909.85
  5. Step 5: Solve for x
    x = 1,605,909.85/1,387.80
  6. Step 6: Final answer
    x = 1,157.16

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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.