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Finding the Fourth Proportional to 733.19, 1,097.49 and 458.06

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Solution

The fourth proportional to 733.19, 1,097.49 and 458.06 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.19 : 1,097.49 = 458.06 : x
  2. Step 2: Convert to fraction form
    733.19/1,097.49 = 458.06/x
  3. Step 3: Cross multiply
    733.19x = 1,097.49 × 458.06
  4. Step 4: Simplify right side
    733.19x = 502,716.27
  5. Step 5: Solve for x
    x = 502,716.27/733.19
  6. Step 6: Final answer
    x = 685.66

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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.