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Finding the Fourth Proportional to 908.08, 1,361.07 and 648.70

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Solution

The fourth proportional to 908.08, 1,361.07 and 648.70 is: 972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.08 : 1,361.07 = 648.70 : x
  2. Step 2: Convert to fraction form
    908.08/1,361.07 = 648.70/x
  3. Step 3: Cross multiply
    908.08x = 1,361.07 × 648.70
  4. Step 4: Simplify right side
    908.08x = 882,922.71
  5. Step 5: Solve for x
    x = 882,922.71/908.08
  6. Step 6: Final answer
    x = 972.30

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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.