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Finding the Fourth Proportional to 842.49, 1,262.11 and 409.95

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Solution

The fourth proportional to 842.49, 1,262.11 and 409.95 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.49 : 1,262.11 = 409.95 : x
  2. Step 2: Convert to fraction form
    842.49/1,262.11 = 409.95/x
  3. Step 3: Cross multiply
    842.49x = 1,262.11 × 409.95
  4. Step 4: Simplify right side
    842.49x = 517,401.99
  5. Step 5: Solve for x
    x = 517,401.99/842.49
  6. Step 6: Final answer
    x = 614.13

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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.