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Finding the Fourth Proportional to 749.74, 1,123.93 and 262.53

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Solution

The fourth proportional to 749.74, 1,123.93 and 262.53 is: 393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.74 : 1,123.93 = 262.53 : x
  2. Step 2: Convert to fraction form
    749.74/1,123.93 = 262.53/x
  3. Step 3: Cross multiply
    749.74x = 1,123.93 × 262.53
  4. Step 4: Simplify right side
    749.74x = 295,058.41
  5. Step 5: Solve for x
    x = 295,058.41/749.74
  6. Step 6: Final answer
    x = 393.55

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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.