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Finding the Fourth Proportional to 1,432.35, 1,976.49 and 834.71

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Solution

The fourth proportional to 1,432.35, 1,976.49 and 834.71 is: 1,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.35 : 1,976.49 = 834.71 : x
  2. Step 2: Convert to fraction form
    1,432.35/1,976.49 = 834.71/x
  3. Step 3: Cross multiply
    1,432.35x = 1,976.49 × 834.71
  4. Step 4: Simplify right side
    1,432.35x = 1,649,786.09
  5. Step 5: Solve for x
    x = 1,649,786.09/1,432.35
  6. Step 6: Final answer
    x = 1,151.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.