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Finding the Fourth Proportional to 1,009.62, 1,513.67 and 489.69

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Solution

The fourth proportional to 1,009.62, 1,513.67 and 489.69 is: 734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.62 : 1,513.67 = 489.69 : x
  2. Step 2: Convert to fraction form
    1,009.62/1,513.67 = 489.69/x
  3. Step 3: Cross multiply
    1,009.62x = 1,513.67 × 489.69
  4. Step 4: Simplify right side
    1,009.62x = 741,226.61
  5. Step 5: Solve for x
    x = 741,226.61/1,009.62
  6. Step 6: Final answer
    x = 734.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.