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Finding the Fourth Proportional to 981.14, 1,470.83 and 432.90

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Solution

The fourth proportional to 981.14, 1,470.83 and 432.90 is: 648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.14 : 1,470.83 = 432.90 : x
  2. Step 2: Convert to fraction form
    981.14/1,470.83 = 432.90/x
  3. Step 3: Cross multiply
    981.14x = 1,470.83 × 432.90
  4. Step 4: Simplify right side
    981.14x = 636,720.14
  5. Step 5: Solve for x
    x = 636,720.14/981.14
  6. Step 6: Final answer
    x = 648.96

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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.