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Finding the Fourth Proportional to 699.54, 965.45 and 533.45

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Solution

The fourth proportional to 699.54, 965.45 and 533.45 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.54 : 965.45 = 533.45 : x
  2. Step 2: Convert to fraction form
    699.54/965.45 = 533.45/x
  3. Step 3: Cross multiply
    699.54x = 965.45 × 533.45
  4. Step 4: Simplify right side
    699.54x = 515,023.05
  5. Step 5: Solve for x
    x = 515,023.05/699.54
  6. Step 6: Final answer
    x = 736.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.