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Finding the Fourth Proportional to 1,334.93, 2,002.37 and 749.66

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Solution

The fourth proportional to 1,334.93, 2,002.37 and 749.66 is: 1,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.93 : 2,002.37 = 749.66 : x
  2. Step 2: Convert to fraction form
    1,334.93/2,002.37 = 749.66/x
  3. Step 3: Cross multiply
    1,334.93x = 2,002.37 × 749.66
  4. Step 4: Simplify right side
    1,334.93x = 1,501,082.93
  5. Step 5: Solve for x
    x = 1,501,082.93/1,334.93
  6. Step 6: Final answer
    x = 1,124.47

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