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Finding the Fourth Proportional to 908.48, 1,360.82 and 582.20

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Solution

The fourth proportional to 908.48, 1,360.82 and 582.20 is: 872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.48 : 1,360.82 = 582.20 : x
  2. Step 2: Convert to fraction form
    908.48/1,360.82 = 582.20/x
  3. Step 3: Cross multiply
    908.48x = 1,360.82 × 582.20
  4. Step 4: Simplify right side
    908.48x = 792,269.40
  5. Step 5: Solve for x
    x = 792,269.40/908.48
  6. Step 6: Final answer
    x = 872.08

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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.