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Finding the Fourth Proportional to 534.94, 797.26 and 534.13

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Solution

The fourth proportional to 534.94, 797.26 and 534.13 is: 796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 797.26 = 534.13 : x
  2. Step 2: Convert to fraction form
    534.94/797.26 = 534.13/x
  3. Step 3: Cross multiply
    534.94x = 797.26 × 534.13
  4. Step 4: Simplify right side
    534.94x = 425,840.48
  5. Step 5: Solve for x
    x = 425,840.48/534.94
  6. Step 6: Final answer
    x = 796.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.