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Finding the Fourth Proportional to 778.78, 1,074.84 and 468.28

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Solution

The fourth proportional to 778.78, 1,074.84 and 468.28 is: 646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.78 : 1,074.84 = 468.28 : x
  2. Step 2: Convert to fraction form
    778.78/1,074.84 = 468.28/x
  3. Step 3: Cross multiply
    778.78x = 1,074.84 × 468.28
  4. Step 4: Simplify right side
    778.78x = 503,326.08
  5. Step 5: Solve for x
    x = 503,326.08/778.78
  6. Step 6: Final answer
    x = 646.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.