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Finding the Fourth Proportional to 866.86, 1,294.62 and 693.78

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Solution

The fourth proportional to 866.86, 1,294.62 and 693.78 is: 1,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.86 : 1,294.62 = 693.78 : x
  2. Step 2: Convert to fraction form
    866.86/1,294.62 = 693.78/x
  3. Step 3: Cross multiply
    866.86x = 1,294.62 × 693.78
  4. Step 4: Simplify right side
    866.86x = 898,181.46
  5. Step 5: Solve for x
    x = 898,181.46/866.86
  6. Step 6: Final answer
    x = 1,036.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.