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Finding the Fourth Proportional to 778.32, 1,166.67 and 431.24

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Solution

The fourth proportional to 778.32, 1,166.67 and 431.24 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.32 : 1,166.67 = 431.24 : x
  2. Step 2: Convert to fraction form
    778.32/1,166.67 = 431.24/x
  3. Step 3: Cross multiply
    778.32x = 1,166.67 × 431.24
  4. Step 4: Simplify right side
    778.32x = 503,108.94
  5. Step 5: Solve for x
    x = 503,108.94/778.32
  6. Step 6: Final answer
    x = 646.40

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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.