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Finding the Fourth Proportional to 908.94, 1,254.36 and 559.65

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Solution

The fourth proportional to 908.94, 1,254.36 and 559.65 is: 772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.94 : 1,254.36 = 559.65 : x
  2. Step 2: Convert to fraction form
    908.94/1,254.36 = 559.65/x
  3. Step 3: Cross multiply
    908.94x = 1,254.36 × 559.65
  4. Step 4: Simplify right side
    908.94x = 702,002.57
  5. Step 5: Solve for x
    x = 702,002.57/908.94
  6. Step 6: Final answer
    x = 772.33

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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.