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Finding the Fourth Proportional to 934.57, 1,290.24 and 620.26

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Solution

The fourth proportional to 934.57, 1,290.24 and 620.26 is: 856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.57 : 1,290.24 = 620.26 : x
  2. Step 2: Convert to fraction form
    934.57/1,290.24 = 620.26/x
  3. Step 3: Cross multiply
    934.57x = 1,290.24 × 620.26
  4. Step 4: Simplify right side
    934.57x = 800,284.26
  5. Step 5: Solve for x
    x = 800,284.26/934.57
  6. Step 6: Final answer
    x = 856.31

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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.