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Finding the Fourth Proportional to 913.63, 1,260.96 and 582.22

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Solution

The fourth proportional to 913.63, 1,260.96 and 582.22 is: 803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.63 : 1,260.96 = 582.22 : x
  2. Step 2: Convert to fraction form
    913.63/1,260.96 = 582.22/x
  3. Step 3: Cross multiply
    913.63x = 1,260.96 × 582.22
  4. Step 4: Simplify right side
    913.63x = 734,156.13
  5. Step 5: Solve for x
    x = 734,156.13/913.63
  6. Step 6: Final answer
    x = 803.56

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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.