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Finding the Fourth Proportional to 1,228.42, 1,842.90 and 579.16

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Solution

The fourth proportional to 1,228.42, 1,842.90 and 579.16 is: 868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.42 : 1,842.90 = 579.16 : x
  2. Step 2: Convert to fraction form
    1,228.42/1,842.90 = 579.16/x
  3. Step 3: Cross multiply
    1,228.42x = 1,842.90 × 579.16
  4. Step 4: Simplify right side
    1,228.42x = 1,067,333.96
  5. Step 5: Solve for x
    x = 1,067,333.96/1,228.42
  6. Step 6: Final answer
    x = 868.87

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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.