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Finding the Fourth Proportional to 1,148.67, 1,722.60 and 326.70

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Solution

The fourth proportional to 1,148.67, 1,722.60 and 326.70 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.67 : 1,722.60 = 326.70 : x
  2. Step 2: Convert to fraction form
    1,148.67/1,722.60 = 326.70/x
  3. Step 3: Cross multiply
    1,148.67x = 1,722.60 × 326.70
  4. Step 4: Simplify right side
    1,148.67x = 562,773.42
  5. Step 5: Solve for x
    x = 562,773.42/1,148.67
  6. Step 6: Final answer
    x = 489.93

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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.