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Finding the Fourth Proportional to 972.84, 1,342.17 and 641.43

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Solution

The fourth proportional to 972.84, 1,342.17 and 641.43 is: 884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,342.17 = 641.43 : x
  2. Step 2: Convert to fraction form
    972.84/1,342.17 = 641.43/x
  3. Step 3: Cross multiply
    972.84x = 1,342.17 × 641.43
  4. Step 4: Simplify right side
    972.84x = 860,908.10
  5. Step 5: Solve for x
    x = 860,908.10/972.84
  6. Step 6: Final answer
    x = 884.94

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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.