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Finding the Fourth Proportional to 908.29, 1,253.28 and 577.18

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Solution

The fourth proportional to 908.29, 1,253.28 and 577.18 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.29 : 1,253.28 = 577.18 : x
  2. Step 2: Convert to fraction form
    908.29/1,253.28 = 577.18/x
  3. Step 3: Cross multiply
    908.29x = 1,253.28 × 577.18
  4. Step 4: Simplify right side
    908.29x = 723,368.15
  5. Step 5: Solve for x
    x = 723,368.15/908.29
  6. Step 6: Final answer
    x = 796.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.