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Finding the Fourth Proportional to 1,061.22, 1,463.31 and 667.74

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Solution

The fourth proportional to 1,061.22, 1,463.31 and 667.74 is: 920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.22 : 1,463.31 = 667.74 : x
  2. Step 2: Convert to fraction form
    1,061.22/1,463.31 = 667.74/x
  3. Step 3: Cross multiply
    1,061.22x = 1,463.31 × 667.74
  4. Step 4: Simplify right side
    1,061.22x = 977,110.62
  5. Step 5: Solve for x
    x = 977,110.62/1,061.22
  6. Step 6: Final answer
    x = 920.74

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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.