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Finding the Fourth Proportional to 908.75, 1,254.15 and 559.52

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Solution

The fourth proportional to 908.75, 1,254.15 and 559.52 is: 772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.75 : 1,254.15 = 559.52 : x
  2. Step 2: Convert to fraction form
    908.75/1,254.15 = 559.52/x
  3. Step 3: Cross multiply
    908.75x = 1,254.15 × 559.52
  4. Step 4: Simplify right side
    908.75x = 701,722.01
  5. Step 5: Solve for x
    x = 701,722.01/908.75
  6. Step 6: Final answer
    x = 772.18

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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.