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Finding the Fourth Proportional to 749.71, 1,125.08 and 262.77

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Solution

The fourth proportional to 749.71, 1,125.08 and 262.77 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.71 : 1,125.08 = 262.77 : x
  2. Step 2: Convert to fraction form
    749.71/1,125.08 = 262.77/x
  3. Step 3: Cross multiply
    749.71x = 1,125.08 × 262.77
  4. Step 4: Simplify right side
    749.71x = 295,630.33
  5. Step 5: Solve for x
    x = 295,630.33/749.71
  6. Step 6: Final answer
    x = 394.33

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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.