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Finding the Fourth Proportional to 818.97, 1,228.23 and 585.93

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Solution

The fourth proportional to 818.97, 1,228.23 and 585.93 is: 878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.97 : 1,228.23 = 585.93 : x
  2. Step 2: Convert to fraction form
    818.97/1,228.23 = 585.93/x
  3. Step 3: Cross multiply
    818.97x = 1,228.23 × 585.93
  4. Step 4: Simplify right side
    818.97x = 719,656.80
  5. Step 5: Solve for x
    x = 719,656.80/818.97
  6. Step 6: Final answer
    x = 878.73

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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.