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Finding the Fourth Proportional to 733.52, 1,100.41 and 597.75

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Solution

The fourth proportional to 733.52, 1,100.41 and 597.75 is: 896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.52 : 1,100.41 = 597.75 : x
  2. Step 2: Convert to fraction form
    733.52/1,100.41 = 597.75/x
  3. Step 3: Cross multiply
    733.52x = 1,100.41 × 597.75
  4. Step 4: Simplify right side
    733.52x = 657,768.58
  5. Step 5: Solve for x
    x = 657,768.58/733.52
  6. Step 6: Final answer
    x = 896.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.