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Finding the Fourth Proportional to 876.09, 1,314.14 and 822.63

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Solution

The fourth proportional to 876.09, 1,314.14 and 822.63 is: 1,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.09 : 1,314.14 = 822.63 : x
  2. Step 2: Convert to fraction form
    876.09/1,314.14 = 822.63/x
  3. Step 3: Cross multiply
    876.09x = 1,314.14 × 822.63
  4. Step 4: Simplify right side
    876.09x = 1,081,050.99
  5. Step 5: Solve for x
    x = 1,081,050.99/876.09
  6. Step 6: Final answer
    x = 1,233.95

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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.