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Finding the Fourth Proportional to 813.02, 1,219.52 and 402.66

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Solution

The fourth proportional to 813.02, 1,219.52 and 402.66 is: 603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.02 : 1,219.52 = 402.66 : x
  2. Step 2: Convert to fraction form
    813.02/1,219.52 = 402.66/x
  3. Step 3: Cross multiply
    813.02x = 1,219.52 × 402.66
  4. Step 4: Simplify right side
    813.02x = 491,052.93
  5. Step 5: Solve for x
    x = 491,052.93/813.02
  6. Step 6: Final answer
    x = 603.99

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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.