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Finding the Fourth Proportional to 865.58, 1,193.83 and 766.11

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Solution

The fourth proportional to 865.58, 1,193.83 and 766.11 is: 1,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.58 : 1,193.83 = 766.11 : x
  2. Step 2: Convert to fraction form
    865.58/1,193.83 = 766.11/x
  3. Step 3: Cross multiply
    865.58x = 1,193.83 × 766.11
  4. Step 4: Simplify right side
    865.58x = 914,599.13
  5. Step 5: Solve for x
    x = 914,599.13/865.58
  6. Step 6: Final answer
    x = 1,056.63

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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.