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Finding the Fourth Proportional to 908.80, 1,364.64 and 717.28

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Solution

The fourth proportional to 908.80, 1,364.64 and 717.28 is: 1,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.80 : 1,364.64 = 717.28 : x
  2. Step 2: Convert to fraction form
    908.80/1,364.64 = 717.28/x
  3. Step 3: Cross multiply
    908.80x = 1,364.64 × 717.28
  4. Step 4: Simplify right side
    908.80x = 978,828.98
  5. Step 5: Solve for x
    x = 978,828.98/908.80
  6. Step 6: Final answer
    x = 1,077.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.