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Finding the Fourth Proportional to 1,218.97, 1,829.49 and 489.07

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Solution

The fourth proportional to 1,218.97, 1,829.49 and 489.07 is: 734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.97 : 1,829.49 = 489.07 : x
  2. Step 2: Convert to fraction form
    1,218.97/1,829.49 = 489.07/x
  3. Step 3: Cross multiply
    1,218.97x = 1,829.49 × 489.07
  4. Step 4: Simplify right side
    1,218.97x = 894,748.67
  5. Step 5: Solve for x
    x = 894,748.67/1,218.97
  6. Step 6: Final answer
    x = 734.02

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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.