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Finding the Fourth Proportional to 862.44, 1,298.51 and 760.38

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Solution

The fourth proportional to 862.44, 1,298.51 and 760.38 is: 1,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,298.51 = 760.38 : x
  2. Step 2: Convert to fraction form
    862.44/1,298.51 = 760.38/x
  3. Step 3: Cross multiply
    862.44x = 1,298.51 × 760.38
  4. Step 4: Simplify right side
    862.44x = 987,357.23
  5. Step 5: Solve for x
    x = 987,357.23/862.44
  6. Step 6: Final answer
    x = 1,144.84

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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.