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Finding the Fourth Proportional to 733.26, 1,012.59 and 559.74

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Solution

The fourth proportional to 733.26, 1,012.59 and 559.74 is: 772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.26 : 1,012.59 = 559.74 : x
  2. Step 2: Convert to fraction form
    733.26/1,012.59 = 559.74/x
  3. Step 3: Cross multiply
    733.26x = 1,012.59 × 559.74
  4. Step 4: Simplify right side
    733.26x = 566,787.13
  5. Step 5: Solve for x
    x = 566,787.13/733.26
  6. Step 6: Final answer
    x = 772.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.