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Finding the Fourth Proportional to 868.27, 1,302.66 and 776.38

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Solution

The fourth proportional to 868.27, 1,302.66 and 776.38 is: 1,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.27 : 1,302.66 = 776.38 : x
  2. Step 2: Convert to fraction form
    868.27/1,302.66 = 776.38/x
  3. Step 3: Cross multiply
    868.27x = 1,302.66 × 776.38
  4. Step 4: Simplify right side
    868.27x = 1,011,359.17
  5. Step 5: Solve for x
    x = 1,011,359.17/868.27
  6. Step 6: Final answer
    x = 1,164.80

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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.