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Finding the Fourth Proportional to 1,486.44, 2,231.37 and 870.59

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Solution

The fourth proportional to 1,486.44, 2,231.37 and 870.59 is: 1,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.44 : 2,231.37 = 870.59 : x
  2. Step 2: Convert to fraction form
    1,486.44/2,231.37 = 870.59/x
  3. Step 3: Cross multiply
    1,486.44x = 2,231.37 × 870.59
  4. Step 4: Simplify right side
    1,486.44x = 1,942,597.25
  5. Step 5: Solve for x
    x = 1,942,597.25/1,486.44
  6. Step 6: Final answer
    x = 1,306.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.