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Finding the Fourth Proportional to 1,009.84, 1,513.86 and 489.55

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Solution

The fourth proportional to 1,009.84, 1,513.86 and 489.55 is: 733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.84 : 1,513.86 = 489.55 : x
  2. Step 2: Convert to fraction form
    1,009.84/1,513.86 = 489.55/x
  3. Step 3: Cross multiply
    1,009.84x = 1,513.86 × 489.55
  4. Step 4: Simplify right side
    1,009.84x = 741,110.16
  5. Step 5: Solve for x
    x = 741,110.16/1,009.84
  6. Step 6: Final answer
    x = 733.89

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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.