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Finding the Fourth Proportional to 870.28, 1,193.20 and 854.69

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Solution

The fourth proportional to 870.28, 1,193.20 and 854.69 is: 1,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.28 : 1,193.20 = 854.69 : x
  2. Step 2: Convert to fraction form
    870.28/1,193.20 = 854.69/x
  3. Step 3: Cross multiply
    870.28x = 1,193.20 × 854.69
  4. Step 4: Simplify right side
    870.28x = 1,019,808.01
  5. Step 5: Solve for x
    x = 1,019,808.01/870.28
  6. Step 6: Final answer
    x = 1,171.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.