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Finding the Fourth Proportional to 763.78, 1,052.58 and 749.74

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Solution

The fourth proportional to 763.78, 1,052.58 and 749.74 is: 1,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.78 : 1,052.58 = 749.74 : x
  2. Step 2: Convert to fraction form
    763.78/1,052.58 = 749.74/x
  3. Step 3: Cross multiply
    763.78x = 1,052.58 × 749.74
  4. Step 4: Simplify right side
    763.78x = 789,161.33
  5. Step 5: Solve for x
    x = 789,161.33/763.78
  6. Step 6: Final answer
    x = 1,033.23

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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.