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Finding the Fourth Proportional to 766.46, 1,055.72 and 600.37

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Solution

The fourth proportional to 766.46, 1,055.72 and 600.37 is: 826.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.46 : 1,055.72 = 600.37 : x
  2. Step 2: Convert to fraction form
    766.46/1,055.72 = 600.37/x
  3. Step 3: Cross multiply
    766.46x = 1,055.72 × 600.37
  4. Step 4: Simplify right side
    766.46x = 633,821.48
  5. Step 5: Solve for x
    x = 633,821.48/766.46
  6. Step 6: Final answer
    x = 826.94

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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.