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Finding the Fourth Proportional to 813.50, 1,219.33 and 402.93

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Solution

The fourth proportional to 813.50, 1,219.33 and 402.93 is: 603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.50 : 1,219.33 = 402.93 : x
  2. Step 2: Convert to fraction form
    813.50/1,219.33 = 402.93/x
  3. Step 3: Cross multiply
    813.50x = 1,219.33 × 402.93
  4. Step 4: Simplify right side
    813.50x = 491,304.64
  5. Step 5: Solve for x
    x = 491,304.64/813.50
  6. Step 6: Final answer
    x = 603.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.