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Finding the Fourth Proportional to 1,355.69, 2,032.30 and 489.80

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Solution

The fourth proportional to 1,355.69, 2,032.30 and 489.80 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.69 : 2,032.30 = 489.80 : x
  2. Step 2: Convert to fraction form
    1,355.69/2,032.30 = 489.80/x
  3. Step 3: Cross multiply
    1,355.69x = 2,032.30 × 489.80
  4. Step 4: Simplify right side
    1,355.69x = 995,420.54
  5. Step 5: Solve for x
    x = 995,420.54/1,355.69
  6. Step 6: Final answer
    x = 734.25

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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.