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Finding the Fourth Proportional to 913.05, 1,261.17 and 766.44

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Solution

The fourth proportional to 913.05, 1,261.17 and 766.44 is: 1,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.05 : 1,261.17 = 766.44 : x
  2. Step 2: Convert to fraction form
    913.05/1,261.17 = 766.44/x
  3. Step 3: Cross multiply
    913.05x = 1,261.17 × 766.44
  4. Step 4: Simplify right side
    913.05x = 966,611.13
  5. Step 5: Solve for x
    x = 966,611.13/913.05
  6. Step 6: Final answer
    x = 1,058.66

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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.