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Finding the Fourth Proportional to 862.60, 1,292.51 and 515.10

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Solution

The fourth proportional to 862.60, 1,292.51 and 515.10 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.60 : 1,292.51 = 515.10 : x
  2. Step 2: Convert to fraction form
    862.60/1,292.51 = 515.10/x
  3. Step 3: Cross multiply
    862.60x = 1,292.51 × 515.10
  4. Step 4: Simplify right side
    862.60x = 665,771.90
  5. Step 5: Solve for x
    x = 665,771.90/862.60
  6. Step 6: Final answer
    x = 771.82

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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.