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Finding the Fourth Proportional to 749.76, 1,122.32 and 685.97

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Solution

The fourth proportional to 749.76, 1,122.32 and 685.97 is: 1,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.76 : 1,122.32 = 685.97 : x
  2. Step 2: Convert to fraction form
    749.76/1,122.32 = 685.97/x
  3. Step 3: Cross multiply
    749.76x = 1,122.32 × 685.97
  4. Step 4: Simplify right side
    749.76x = 769,868.81
  5. Step 5: Solve for x
    x = 769,868.81/749.76
  6. Step 6: Final answer
    x = 1,026.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.