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Finding the Fourth Proportional to 972.82, 1,342.71 and 641.30

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Solution

The fourth proportional to 972.82, 1,342.71 and 641.30 is: 885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.82 : 1,342.71 = 641.30 : x
  2. Step 2: Convert to fraction form
    972.82/1,342.71 = 641.30/x
  3. Step 3: Cross multiply
    972.82x = 1,342.71 × 641.30
  4. Step 4: Simplify right side
    972.82x = 861,079.92
  5. Step 5: Solve for x
    x = 861,079.92/972.82
  6. Step 6: Final answer
    x = 885.14

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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.