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Finding the Fourth Proportional to 854.93, 1,279.62 and 733.29

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Solution

The fourth proportional to 854.93, 1,279.62 and 733.29 is: 1,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.93 : 1,279.62 = 733.29 : x
  2. Step 2: Convert to fraction form
    854.93/1,279.62 = 733.29/x
  3. Step 3: Cross multiply
    854.93x = 1,279.62 × 733.29
  4. Step 4: Simplify right side
    854.93x = 938,332.55
  5. Step 5: Solve for x
    x = 938,332.55/854.93
  6. Step 6: Final answer
    x = 1,097.56

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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.