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Finding the Fourth Proportional to 647.25, 969.42 and 539.52

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Solution

The fourth proportional to 647.25, 969.42 and 539.52 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.25 : 969.42 = 539.52 : x
  2. Step 2: Convert to fraction form
    647.25/969.42 = 539.52/x
  3. Step 3: Cross multiply
    647.25x = 969.42 × 539.52
  4. Step 4: Simplify right side
    647.25x = 523,021.48
  5. Step 5: Solve for x
    x = 523,021.48/647.25
  6. Step 6: Final answer
    x = 808.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.