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Finding the Fourth Proportional to 753.45, 1,129.97 and 266.45

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Solution

The fourth proportional to 753.45, 1,129.97 and 266.45 is: 399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.45 : 1,129.97 = 266.45 : x
  2. Step 2: Convert to fraction form
    753.45/1,129.97 = 266.45/x
  3. Step 3: Cross multiply
    753.45x = 1,129.97 × 266.45
  4. Step 4: Simplify right side
    753.45x = 301,073.52
  5. Step 5: Solve for x
    x = 301,073.52/753.45
  6. Step 6: Final answer
    x = 399.59

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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.