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Finding the Fourth Proportional to 981.26, 1,470.84 and 433.81

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Solution

The fourth proportional to 981.26, 1,470.84 and 433.81 is: 650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.26 : 1,470.84 = 433.81 : x
  2. Step 2: Convert to fraction form
    981.26/1,470.84 = 433.81/x
  3. Step 3: Cross multiply
    981.26x = 1,470.84 × 433.81
  4. Step 4: Simplify right side
    981.26x = 638,065.10
  5. Step 5: Solve for x
    x = 638,065.10/981.26
  6. Step 6: Final answer
    x = 650.25

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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.