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Finding the Fourth Proportional to 866.94, 1,194.34 and 761.84

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Solution

The fourth proportional to 866.94, 1,194.34 and 761.84 is: 1,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.94 : 1,194.34 = 761.84 : x
  2. Step 2: Convert to fraction form
    866.94/1,194.34 = 761.84/x
  3. Step 3: Cross multiply
    866.94x = 1,194.34 × 761.84
  4. Step 4: Simplify right side
    866.94x = 909,895.99
  5. Step 5: Solve for x
    x = 909,895.99/866.94
  6. Step 6: Final answer
    x = 1,049.55

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Why These Related Problems?

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