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Finding the Fourth Proportional to 733.26, 1,010.66 and 608.52

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Solution

The fourth proportional to 733.26, 1,010.66 and 608.52 is: 838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.26 : 1,010.66 = 608.52 : x
  2. Step 2: Convert to fraction form
    733.26/1,010.66 = 608.52/x
  3. Step 3: Cross multiply
    733.26x = 1,010.66 × 608.52
  4. Step 4: Simplify right side
    733.26x = 615,006.82
  5. Step 5: Solve for x
    x = 615,006.82/733.26
  6. Step 6: Final answer
    x = 838.73

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