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Finding the Fourth Proportional to 778.32, 1,073.76 and 467.76

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Solution

The fourth proportional to 778.32, 1,073.76 and 467.76 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.32 : 1,073.76 = 467.76 : x
  2. Step 2: Convert to fraction form
    778.32/1,073.76 = 467.76/x
  3. Step 3: Cross multiply
    778.32x = 1,073.76 × 467.76
  4. Step 4: Simplify right side
    778.32x = 502,261.98
  5. Step 5: Solve for x
    x = 502,261.98/778.32
  6. Step 6: Final answer
    x = 645.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.