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Finding the Fourth Proportional to 839.55, 1,258.56 and 514.20

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Solution

The fourth proportional to 839.55, 1,258.56 and 514.20 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.55 : 1,258.56 = 514.20 : x
  2. Step 2: Convert to fraction form
    839.55/1,258.56 = 514.20/x
  3. Step 3: Cross multiply
    839.55x = 1,258.56 × 514.20
  4. Step 4: Simplify right side
    839.55x = 647,151.55
  5. Step 5: Solve for x
    x = 647,151.55/839.55
  6. Step 6: Final answer
    x = 770.83

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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.