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Finding the Fourth Proportional to 961.52, 1,442.45 and 733.25

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Solution

The fourth proportional to 961.52, 1,442.45 and 733.25 is: 1,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.52 : 1,442.45 = 733.25 : x
  2. Step 2: Convert to fraction form
    961.52/1,442.45 = 733.25/x
  3. Step 3: Cross multiply
    961.52x = 1,442.45 × 733.25
  4. Step 4: Simplify right side
    961.52x = 1,057,672.80
  5. Step 5: Solve for x
    x = 1,057,672.80/961.52
  6. Step 6: Final answer
    x = 1,100.00

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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.