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Finding the Fourth Proportional to 906.60, 1,361.58 and 560.78

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Solution

The fourth proportional to 906.60, 1,361.58 and 560.78 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.60 : 1,361.58 = 560.78 : x
  2. Step 2: Convert to fraction form
    906.60/1,361.58 = 560.78/x
  3. Step 3: Cross multiply
    906.60x = 1,361.58 × 560.78
  4. Step 4: Simplify right side
    906.60x = 763,550.69
  5. Step 5: Solve for x
    x = 763,550.69/906.60
  6. Step 6: Final answer
    x = 842.21

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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.