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Finding the Fourth Proportional to 813.48, 1,219.82 and 402.14

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Solution

The fourth proportional to 813.48, 1,219.82 and 402.14 is: 603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.48 : 1,219.82 = 402.14 : x
  2. Step 2: Convert to fraction form
    813.48/1,219.82 = 402.14/x
  3. Step 3: Cross multiply
    813.48x = 1,219.82 × 402.14
  4. Step 4: Simplify right side
    813.48x = 490,538.41
  5. Step 5: Solve for x
    x = 490,538.41/813.48
  6. Step 6: Final answer
    x = 603.01

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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.