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Finding the Fourth Proportional to 1,034, 1,424.43 and 869.15

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Solution

The fourth proportional to 1,034, 1,424.43 and 869.15 is: 1,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034 : 1,424.43 = 869.15 : x
  2. Step 2: Convert to fraction form
    1,034/1,424.43 = 869.15/x
  3. Step 3: Cross multiply
    1,034x = 1,424.43 × 869.15
  4. Step 4: Simplify right side
    1,034x = 1,238,043.33
  5. Step 5: Solve for x
    x = 1,238,043.33/1,034
  6. Step 6: Final answer
    x = 1,197.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.