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Finding the Fourth Proportional to 908.56, 1,253.41 and 577.18

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Solution

The fourth proportional to 908.56, 1,253.41 and 577.18 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.56 : 1,253.41 = 577.18 : x
  2. Step 2: Convert to fraction form
    908.56/1,253.41 = 577.18/x
  3. Step 3: Cross multiply
    908.56x = 1,253.41 × 577.18
  4. Step 4: Simplify right side
    908.56x = 723,443.18
  5. Step 5: Solve for x
    x = 723,443.18/908.56
  6. Step 6: Final answer
    x = 796.25

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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.