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Finding the Fourth Proportional to 866.04, 1,292.42 and 773.76

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Solution

The fourth proportional to 866.04, 1,292.42 and 773.76 is: 1,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.04 : 1,292.42 = 773.76 : x
  2. Step 2: Convert to fraction form
    866.04/1,292.42 = 773.76/x
  3. Step 3: Cross multiply
    866.04x = 1,292.42 × 773.76
  4. Step 4: Simplify right side
    866.04x = 1,000,019.03
  5. Step 5: Solve for x
    x = 1,000,019.03/866.04
  6. Step 6: Final answer
    x = 1,154.70

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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.