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Finding the Fourth Proportional to 1,232.31, 1,848.60 and 410.67

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Solution

The fourth proportional to 1,232.31, 1,848.60 and 410.67 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.31 : 1,848.60 = 410.67 : x
  2. Step 2: Convert to fraction form
    1,232.31/1,848.60 = 410.67/x
  3. Step 3: Cross multiply
    1,232.31x = 1,848.60 × 410.67
  4. Step 4: Simplify right side
    1,232.31x = 759,164.56
  5. Step 5: Solve for x
    x = 759,164.56/1,232.31
  6. Step 6: Final answer
    x = 616.05

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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.