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Finding the Fourth Proportional to 778.16, 1,166.36 and 315.84

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Solution

The fourth proportional to 778.16, 1,166.36 and 315.84 is: 473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.16 : 1,166.36 = 315.84 : x
  2. Step 2: Convert to fraction form
    778.16/1,166.36 = 315.84/x
  3. Step 3: Cross multiply
    778.16x = 1,166.36 × 315.84
  4. Step 4: Simplify right side
    778.16x = 368,383.14
  5. Step 5: Solve for x
    x = 368,383.14/778.16
  6. Step 6: Final answer
    x = 473.40

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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.