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Finding the Fourth Proportional to 862.41, 1,298.50 and 760.35

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Solution

The fourth proportional to 862.41, 1,298.50 and 760.35 is: 1,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.41 : 1,298.50 = 760.35 : x
  2. Step 2: Convert to fraction form
    862.41/1,298.50 = 760.35/x
  3. Step 3: Cross multiply
    862.41x = 1,298.50 × 760.35
  4. Step 4: Simplify right side
    862.41x = 987,314.48
  5. Step 5: Solve for x
    x = 987,314.48/862.41
  6. Step 6: Final answer
    x = 1,144.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.