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Finding the Fourth Proportional to 1,486.98, 2,230.42 and 863.20

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Solution

The fourth proportional to 1,486.98, 2,230.42 and 863.20 is: 1,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.98 : 2,230.42 = 863.20 : x
  2. Step 2: Convert to fraction form
    1,486.98/2,230.42 = 863.20/x
  3. Step 3: Cross multiply
    1,486.98x = 2,230.42 × 863.20
  4. Step 4: Simplify right side
    1,486.98x = 1,925,298.54
  5. Step 5: Solve for x
    x = 1,925,298.54/1,486.98
  6. Step 6: Final answer
    x = 1,294.77

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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.