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Finding the Fourth Proportional to 999.20, 1,498.29 and 582.86

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Solution

The fourth proportional to 999.20, 1,498.29 and 582.86 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.20 : 1,498.29 = 582.86 : x
  2. Step 2: Convert to fraction form
    999.20/1,498.29 = 582.86/x
  3. Step 3: Cross multiply
    999.20x = 1,498.29 × 582.86
  4. Step 4: Simplify right side
    999.20x = 873,290.40
  5. Step 5: Solve for x
    x = 873,290.40/999.20
  6. Step 6: Final answer
    x = 873.99

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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.