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Finding the Fourth Proportional to 913.26, 1,260.28 and 563.94

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Solution

The fourth proportional to 913.26, 1,260.28 and 563.94 is: 778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.26 : 1,260.28 = 563.94 : x
  2. Step 2: Convert to fraction form
    913.26/1,260.28 = 563.94/x
  3. Step 3: Cross multiply
    913.26x = 1,260.28 × 563.94
  4. Step 4: Simplify right side
    913.26x = 710,722.30
  5. Step 5: Solve for x
    x = 710,722.30/913.26
  6. Step 6: Final answer
    x = 778.23

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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.