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Finding the Fourth Proportional to 913.57, 1,261.50 and 582.58

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Solution

The fourth proportional to 913.57, 1,261.50 and 582.58 is: 804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.57 : 1,261.50 = 582.58 : x
  2. Step 2: Convert to fraction form
    913.57/1,261.50 = 582.58/x
  3. Step 3: Cross multiply
    913.57x = 1,261.50 × 582.58
  4. Step 4: Simplify right side
    913.57x = 734,924.67
  5. Step 5: Solve for x
    x = 734,924.67/913.57
  6. Step 6: Final answer
    x = 804.45

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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.