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Finding the Fourth Proportional to 981.35, 1,471.73 and 434.00

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Solution

The fourth proportional to 981.35, 1,471.73 and 434.00 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.35 : 1,471.73 = 434.00 : x
  2. Step 2: Convert to fraction form
    981.35/1,471.73 = 434.00/x
  3. Step 3: Cross multiply
    981.35x = 1,471.73 × 434.00
  4. Step 4: Simplify right side
    981.35x = 638,721.29
  5. Step 5: Solve for x
    x = 638,721.29/981.35
  6. Step 6: Final answer
    x = 650.86

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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.