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Finding the Fourth Proportional to 971.78, 1,463.48 and 851.50

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Solution

The fourth proportional to 971.78, 1,463.48 and 851.50 is: 1,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,463.48 = 851.50 : x
  2. Step 2: Convert to fraction form
    971.78/1,463.48 = 851.50/x
  3. Step 3: Cross multiply
    971.78x = 1,463.48 × 851.50
  4. Step 4: Simplify right side
    971.78x = 1,246,145.90
  5. Step 5: Solve for x
    x = 1,246,145.90/971.78
  6. Step 6: Final answer
    x = 1,282.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.