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Finding the Fourth Proportional to 529.25, 789.40 and 513.05

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Solution

The fourth proportional to 529.25, 789.40 and 513.05 is: 765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.25 : 789.40 = 513.05 : x
  2. Step 2: Convert to fraction form
    529.25/789.40 = 513.05/x
  3. Step 3: Cross multiply
    529.25x = 789.40 × 513.05
  4. Step 4: Simplify right side
    529.25x = 404,998.36
  5. Step 5: Solve for x
    x = 404,998.36/529.25
  6. Step 6: Final answer
    x = 765.24

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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.