Home / 1,232.24-1,848.40-410.52

Finding the Fourth Proportional to 1,232.24, 1,848.40 and 410.52

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Solution

The fourth proportional to 1,232.24, 1,848.40 and 410.52 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.24 : 1,848.40 = 410.52 : x
  2. Step 2: Convert to fraction form
    1,232.24/1,848.40 = 410.52/x
  3. Step 3: Cross multiply
    1,232.24x = 1,848.40 × 410.52
  4. Step 4: Simplify right side
    1,232.24x = 758,805.17
  5. Step 5: Solve for x
    x = 758,805.17/1,232.24
  6. Step 6: Final answer
    x = 615.79

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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.