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Finding the Fourth Proportional to 821.15, 1,229.96 and 623.96

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Solution

The fourth proportional to 821.15, 1,229.96 and 623.96 is: 934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.15 : 1,229.96 = 623.96 : x
  2. Step 2: Convert to fraction form
    821.15/1,229.96 = 623.96/x
  3. Step 3: Cross multiply
    821.15x = 1,229.96 × 623.96
  4. Step 4: Simplify right side
    821.15x = 767,442.72
  5. Step 5: Solve for x
    x = 767,442.72/821.15
  6. Step 6: Final answer
    x = 934.60

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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.