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Finding the Fourth Proportional to 913.79, 1,261.14 and 582.23

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Solution

The fourth proportional to 913.79, 1,261.14 and 582.23 is: 803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.79 : 1,261.14 = 582.23 : x
  2. Step 2: Convert to fraction form
    913.79/1,261.14 = 582.23/x
  3. Step 3: Cross multiply
    913.79x = 1,261.14 × 582.23
  4. Step 4: Simplify right side
    913.79x = 734,273.54
  5. Step 5: Solve for x
    x = 734,273.54/913.79
  6. Step 6: Final answer
    x = 803.55

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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.