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Finding the Fourth Proportional to 971.92, 1,340.71 and 622

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Solution

The fourth proportional to 971.92, 1,340.71 and 622 is: 858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.92 : 1,340.71 = 622 : x
  2. Step 2: Convert to fraction form
    971.92/1,340.71 = 622/x
  3. Step 3: Cross multiply
    971.92x = 1,340.71 × 622
  4. Step 4: Simplify right side
    971.92x = 833,921.62
  5. Step 5: Solve for x
    x = 833,921.62/971.92
  6. Step 6: Final answer
    x = 858.01

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