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Finding the Fourth Proportional to 870.27, 1,198.96 and 824.10

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Solution

The fourth proportional to 870.27, 1,198.96 and 824.10 is: 1,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.27 : 1,198.96 = 824.10 : x
  2. Step 2: Convert to fraction form
    870.27/1,198.96 = 824.10/x
  3. Step 3: Cross multiply
    870.27x = 1,198.96 × 824.10
  4. Step 4: Simplify right side
    870.27x = 988,062.94
  5. Step 5: Solve for x
    x = 988,062.94/870.27
  6. Step 6: Final answer
    x = 1,135.35

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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.