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Finding the Fourth Proportional to 1,003.11, 1,504.67 and 489.75

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Solution

The fourth proportional to 1,003.11, 1,504.67 and 489.75 is: 734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.11 : 1,504.67 = 489.75 : x
  2. Step 2: Convert to fraction form
    1,003.11/1,504.67 = 489.75/x
  3. Step 3: Cross multiply
    1,003.11x = 1,504.67 × 489.75
  4. Step 4: Simplify right side
    1,003.11x = 736,909.68
  5. Step 5: Solve for x
    x = 736,909.68/1,003.11
  6. Step 6: Final answer
    x = 734.63

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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.