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Finding the Fourth Proportional to 733.50, 1,097.52 and 441.14

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Solution

The fourth proportional to 733.50, 1,097.52 and 441.14 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,097.52 = 441.14 : x
  2. Step 2: Convert to fraction form
    733.50/1,097.52 = 441.14/x
  3. Step 3: Cross multiply
    733.50x = 1,097.52 × 441.14
  4. Step 4: Simplify right side
    733.50x = 484,159.97
  5. Step 5: Solve for x
    x = 484,159.97/733.50
  6. Step 6: Final answer
    x = 660.07

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1.5x scale

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.