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Finding the Fourth Proportional to 1,232.52, 1,848.33 and 410.55

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Solution

The fourth proportional to 1,232.52, 1,848.33 and 410.55 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.52 : 1,848.33 = 410.55 : x
  2. Step 2: Convert to fraction form
    1,232.52/1,848.33 = 410.55/x
  3. Step 3: Cross multiply
    1,232.52x = 1,848.33 × 410.55
  4. Step 4: Simplify right side
    1,232.52x = 758,831.88
  5. Step 5: Solve for x
    x = 758,831.88/1,232.52
  6. Step 6: Final answer
    x = 615.68

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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.