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Finding the Fourth Proportional to 1,232.75, 1,848.66 and 410.90

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Solution

The fourth proportional to 1,232.75, 1,848.66 and 410.90 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.75 : 1,848.66 = 410.90 : x
  2. Step 2: Convert to fraction form
    1,232.75/1,848.66 = 410.90/x
  3. Step 3: Cross multiply
    1,232.75x = 1,848.66 × 410.90
  4. Step 4: Simplify right side
    1,232.75x = 759,614.39
  5. Step 5: Solve for x
    x = 759,614.39/1,232.75
  6. Step 6: Final answer
    x = 616.20

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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.