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Finding the Fourth Proportional to 778.46, 1,166.91 and 316.00

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Solution

The fourth proportional to 778.46, 1,166.91 and 316.00 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.46 : 1,166.91 = 316.00 : x
  2. Step 2: Convert to fraction form
    778.46/1,166.91 = 316.00/x
  3. Step 3: Cross multiply
    778.46x = 1,166.91 × 316.00
  4. Step 4: Simplify right side
    778.46x = 368,743.83
  5. Step 5: Solve for x
    x = 368,743.83/778.46
  6. Step 6: Final answer
    x = 473.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.