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Finding the Fourth Proportional to 1,228.88, 1,844.13 and 579.66

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Solution

The fourth proportional to 1,228.88, 1,844.13 and 579.66 is: 869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.88 : 1,844.13 = 579.66 : x
  2. Step 2: Convert to fraction form
    1,228.88/1,844.13 = 579.66/x
  3. Step 3: Cross multiply
    1,228.88x = 1,844.13 × 579.66
  4. Step 4: Simplify right side
    1,228.88x = 1,068,968.40
  5. Step 5: Solve for x
    x = 1,068,968.40/1,228.88
  6. Step 6: Final answer
    x = 869.88

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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.