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Finding the Fourth Proportional to 981.02, 1,471.94 and 518.70

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Solution

The fourth proportional to 981.02, 1,471.94 and 518.70 is: 778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.02 : 1,471.94 = 518.70 : x
  2. Step 2: Convert to fraction form
    981.02/1,471.94 = 518.70/x
  3. Step 3: Cross multiply
    981.02x = 1,471.94 × 518.70
  4. Step 4: Simplify right side
    981.02x = 763,495.28
  5. Step 5: Solve for x
    x = 763,495.28/981.02
  6. Step 6: Final answer
    x = 778.27

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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.