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Finding the Fourth Proportional to 778.21, 1,167.54 and 470.43

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Solution

The fourth proportional to 778.21, 1,167.54 and 470.43 is: 705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.21 : 1,167.54 = 470.43 : x
  2. Step 2: Convert to fraction form
    778.21/1,167.54 = 470.43/x
  3. Step 3: Cross multiply
    778.21x = 1,167.54 × 470.43
  4. Step 4: Simplify right side
    778.21x = 549,248.68
  5. Step 5: Solve for x
    x = 549,248.68/778.21
  6. Step 6: Final answer
    x = 705.79

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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.