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Finding the Fourth Proportional to 913.90, 1,261.81 and 582.78

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Solution

The fourth proportional to 913.90, 1,261.81 and 582.78 is: 804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.90 : 1,261.81 = 582.78 : x
  2. Step 2: Convert to fraction form
    913.90/1,261.81 = 582.78/x
  3. Step 3: Cross multiply
    913.90x = 1,261.81 × 582.78
  4. Step 4: Simplify right side
    913.90x = 735,357.63
  5. Step 5: Solve for x
    x = 735,357.63/913.90
  6. Step 6: Final answer
    x = 804.64

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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.