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Finding the Fourth Proportional to 778.48, 1,164.98 and 470.12

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Solution

The fourth proportional to 778.48, 1,164.98 and 470.12 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.48 : 1,164.98 = 470.12 : x
  2. Step 2: Convert to fraction form
    778.48/1,164.98 = 470.12/x
  3. Step 3: Cross multiply
    778.48x = 1,164.98 × 470.12
  4. Step 4: Simplify right side
    778.48x = 547,680.40
  5. Step 5: Solve for x
    x = 547,680.40/778.48
  6. Step 6: Final answer
    x = 703.53

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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.