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Finding the Fourth Proportional to 778.04, 1,166.75 and 290.82

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Solution

The fourth proportional to 778.04, 1,166.75 and 290.82 is: 436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.04 : 1,166.75 = 290.82 : x
  2. Step 2: Convert to fraction form
    778.04/1,166.75 = 290.82/x
  3. Step 3: Cross multiply
    778.04x = 1,166.75 × 290.82
  4. Step 4: Simplify right side
    778.04x = 339,314.24
  5. Step 5: Solve for x
    x = 339,314.24/778.04
  6. Step 6: Final answer
    x = 436.11

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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.