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Finding the Fourth Proportional to 1,218.24, 1,829.15 and 489.24

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Solution

The fourth proportional to 1,218.24, 1,829.15 and 489.24 is: 734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.24 : 1,829.15 = 489.24 : x
  2. Step 2: Convert to fraction form
    1,218.24/1,829.15 = 489.24/x
  3. Step 3: Cross multiply
    1,218.24x = 1,829.15 × 489.24
  4. Step 4: Simplify right side
    1,218.24x = 894,892.73
  5. Step 5: Solve for x
    x = 894,892.73/1,218.24
  6. Step 6: Final answer
    x = 734.58

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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.