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Finding the Fourth Proportional to 972.71, 1,343.17 and 641.01

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Solution

The fourth proportional to 972.71, 1,343.17 and 641.01 is: 885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.71 : 1,343.17 = 641.01 : x
  2. Step 2: Convert to fraction form
    972.71/1,343.17 = 641.01/x
  3. Step 3: Cross multiply
    972.71x = 1,343.17 × 641.01
  4. Step 4: Simplify right side
    972.71x = 860,982.20
  5. Step 5: Solve for x
    x = 860,982.20/972.71
  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.