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Finding the Fourth Proportional to 971.25, 1,340.78 and 622.14

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Solution

The fourth proportional to 971.25, 1,340.78 and 622.14 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.25 : 1,340.78 = 622.14 : x
  2. Step 2: Convert to fraction form
    971.25/1,340.78 = 622.14/x
  3. Step 3: Cross multiply
    971.25x = 1,340.78 × 622.14
  4. Step 4: Simplify right side
    971.25x = 834,152.87
  5. Step 5: Solve for x
    x = 834,152.87/971.25
  6. Step 6: Final answer
    x = 858.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.