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Finding the Fourth Proportional to 753.15, 1,129.34 and 266.13

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Solution

The fourth proportional to 753.15, 1,129.34 and 266.13 is: 399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.15 : 1,129.34 = 266.13 : x
  2. Step 2: Convert to fraction form
    753.15/1,129.34 = 266.13/x
  3. Step 3: Cross multiply
    753.15x = 1,129.34 × 266.13
  4. Step 4: Simplify right side
    753.15x = 300,549.92
  5. Step 5: Solve for x
    x = 300,549.92/753.15
  6. Step 6: Final answer
    x = 399.06

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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.