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Finding the Fourth Proportional to 778.56, 1,167.76 and 596.32

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Solution

The fourth proportional to 778.56, 1,167.76 and 596.32 is: 894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,167.76 = 596.32 : x
  2. Step 2: Convert to fraction form
    778.56/1,167.76 = 596.32/x
  3. Step 3: Cross multiply
    778.56x = 1,167.76 × 596.32
  4. Step 4: Simplify right side
    778.56x = 696,358.64
  5. Step 5: Solve for x
    x = 696,358.64/778.56
  6. Step 6: Final answer
    x = 894.42

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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.