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Finding the Fourth Proportional to 863.96, 1,300.64 and 774.66

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Solution

The fourth proportional to 863.96, 1,300.64 and 774.66 is: 1,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.96 : 1,300.64 = 774.66 : x
  2. Step 2: Convert to fraction form
    863.96/1,300.64 = 774.66/x
  3. Step 3: Cross multiply
    863.96x = 1,300.64 × 774.66
  4. Step 4: Simplify right side
    863.96x = 1,007,549.91
  5. Step 5: Solve for x
    x = 1,007,549.91/863.96
  6. Step 6: Final answer
    x = 1,166.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.