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Finding the Fourth Proportional to 1,301.24, 1,952.20 and 376.88

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Solution

The fourth proportional to 1,301.24, 1,952.20 and 376.88 is: 565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.24 : 1,952.20 = 376.88 : x
  2. Step 2: Convert to fraction form
    1,301.24/1,952.20 = 376.88/x
  3. Step 3: Cross multiply
    1,301.24x = 1,952.20 × 376.88
  4. Step 4: Simplify right side
    1,301.24x = 735,745.14
  5. Step 5: Solve for x
    x = 735,745.14/1,301.24
  6. Step 6: Final answer
    x = 565.42

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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.