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Finding the Fourth Proportional to 971.06, 1,340.01 and 557.06

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Solution

The fourth proportional to 971.06, 1,340.01 and 557.06 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.06 : 1,340.01 = 557.06 : x
  2. Step 2: Convert to fraction form
    971.06/1,340.01 = 557.06/x
  3. Step 3: Cross multiply
    971.06x = 1,340.01 × 557.06
  4. Step 4: Simplify right side
    971.06x = 746,465.97
  5. Step 5: Solve for x
    x = 746,465.97/971.06
  6. Step 6: Final answer
    x = 768.71

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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.