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Finding the Fourth Proportional to 1,232.67, 1,848.78 and 452.55

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Solution

The fourth proportional to 1,232.67, 1,848.78 and 452.55 is: 678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.67 : 1,848.78 = 452.55 : x
  2. Step 2: Convert to fraction form
    1,232.67/1,848.78 = 452.55/x
  3. Step 3: Cross multiply
    1,232.67x = 1,848.78 × 452.55
  4. Step 4: Simplify right side
    1,232.67x = 836,665.39
  5. Step 5: Solve for x
    x = 836,665.39/1,232.67
  6. Step 6: Final answer
    x = 678.74

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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.