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Finding the Fourth Proportional to 733.12, 1,097.30 and 385.96

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Solution

The fourth proportional to 733.12, 1,097.30 and 385.96 is: 577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,097.30 = 385.96 : x
  2. Step 2: Convert to fraction form
    733.12/1,097.30 = 385.96/x
  3. Step 3: Cross multiply
    733.12x = 1,097.30 × 385.96
  4. Step 4: Simplify right side
    733.12x = 423,513.91
  5. Step 5: Solve for x
    x = 423,513.91/733.12
  6. Step 6: Final answer
    x = 577.69

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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.