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Finding the Fourth Proportional to 908.84, 1,254.48 and 559.64

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Solution

The fourth proportional to 908.84, 1,254.48 and 559.64 is: 772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.84 : 1,254.48 = 559.64 : x
  2. Step 2: Convert to fraction form
    908.84/1,254.48 = 559.64/x
  3. Step 3: Cross multiply
    908.84x = 1,254.48 × 559.64
  4. Step 4: Simplify right side
    908.84x = 702,057.19
  5. Step 5: Solve for x
    x = 702,057.19/908.84
  6. Step 6: Final answer
    x = 772.48

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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.