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Finding the Fourth Proportional to 778.60, 1,074.90 and 582.04

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Solution

The fourth proportional to 778.60, 1,074.90 and 582.04 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.60 : 1,074.90 = 582.04 : x
  2. Step 2: Convert to fraction form
    778.60/1,074.90 = 582.04/x
  3. Step 3: Cross multiply
    778.60x = 1,074.90 × 582.04
  4. Step 4: Simplify right side
    778.60x = 625,634.80
  5. Step 5: Solve for x
    x = 625,634.80/778.60
  6. Step 6: Final answer
    x = 803.54

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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.