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Finding the Fourth Proportional to 874.91, 1,206.13 and 626.14

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Solution

The fourth proportional to 874.91, 1,206.13 and 626.14 is: 863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.91 : 1,206.13 = 626.14 : x
  2. Step 2: Convert to fraction form
    874.91/1,206.13 = 626.14/x
  3. Step 3: Cross multiply
    874.91x = 1,206.13 × 626.14
  4. Step 4: Simplify right side
    874.91x = 755,201.66
  5. Step 5: Solve for x
    x = 755,201.66/874.91
  6. Step 6: Final answer
    x = 863.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.