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Finding the Fourth Proportional to 534.97, 797.66 and 525.25

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Solution

The fourth proportional to 534.97, 797.66 and 525.25 is: 783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 797.66 = 525.25 : x
  2. Step 2: Convert to fraction form
    534.97/797.66 = 525.25/x
  3. Step 3: Cross multiply
    534.97x = 797.66 × 525.25
  4. Step 4: Simplify right side
    534.97x = 418,970.92
  5. Step 5: Solve for x
    x = 418,970.92/534.97
  6. Step 6: Final answer
    x = 783.17

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