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Finding the Fourth Proportional to 908.28, 1,359.18 and 661.77

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Solution

The fourth proportional to 908.28, 1,359.18 and 661.77 is: 990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.28 : 1,359.18 = 661.77 : x
  2. Step 2: Convert to fraction form
    908.28/1,359.18 = 661.77/x
  3. Step 3: Cross multiply
    908.28x = 1,359.18 × 661.77
  4. Step 4: Simplify right side
    908.28x = 899,464.55
  5. Step 5: Solve for x
    x = 899,464.55/908.28
  6. Step 6: Final answer
    x = 990.29

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Why These Related Problems?

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