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Finding the Fourth Proportional to 1,148.12, 1,722.47 and 489.66

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Solution

The fourth proportional to 1,148.12, 1,722.47 and 489.66 is: 734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.12 : 1,722.47 = 489.66 : x
  2. Step 2: Convert to fraction form
    1,148.12/1,722.47 = 489.66/x
  3. Step 3: Cross multiply
    1,148.12x = 1,722.47 × 489.66
  4. Step 4: Simplify right side
    1,148.12x = 843,422.21
  5. Step 5: Solve for x
    x = 843,422.21/1,148.12
  6. Step 6: Final answer
    x = 734.61

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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.