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Finding the Fourth Proportional to 1,230.39, 1,842.84 and 579.75

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Solution

The fourth proportional to 1,230.39, 1,842.84 and 579.75 is: 868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.39 : 1,842.84 = 579.75 : x
  2. Step 2: Convert to fraction form
    1,230.39/1,842.84 = 579.75/x
  3. Step 3: Cross multiply
    1,230.39x = 1,842.84 × 579.75
  4. Step 4: Simplify right side
    1,230.39x = 1,068,386.49
  5. Step 5: Solve for x
    x = 1,068,386.49/1,230.39
  6. Step 6: Final answer
    x = 868.33

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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.