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Finding the Fourth Proportional to 873.54, 1,310.62 and 582.22

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Solution

The fourth proportional to 873.54, 1,310.62 and 582.22 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.54 : 1,310.62 = 582.22 : x
  2. Step 2: Convert to fraction form
    873.54/1,310.62 = 582.22/x
  3. Step 3: Cross multiply
    873.54x = 1,310.62 × 582.22
  4. Step 4: Simplify right side
    873.54x = 763,069.18
  5. Step 5: Solve for x
    x = 763,069.18/873.54
  6. Step 6: Final answer
    x = 873.54

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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.