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Finding the Fourth Proportional to 1,149.54, 1,724.37 and 283.86

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Solution

The fourth proportional to 1,149.54, 1,724.37 and 283.86 is: 425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.54 : 1,724.37 = 283.86 : x
  2. Step 2: Convert to fraction form
    1,149.54/1,724.37 = 283.86/x
  3. Step 3: Cross multiply
    1,149.54x = 1,724.37 × 283.86
  4. Step 4: Simplify right side
    1,149.54x = 489,479.67
  5. Step 5: Solve for x
    x = 489,479.67/1,149.54
  6. Step 6: Final answer
    x = 425.80

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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.