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Finding the Fourth Proportional to 699.88, 965.76 and 533.68

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Solution

The fourth proportional to 699.88, 965.76 and 533.68 is: 736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.88 : 965.76 = 533.68 : x
  2. Step 2: Convert to fraction form
    699.88/965.76 = 533.68/x
  3. Step 3: Cross multiply
    699.88x = 965.76 × 533.68
  4. Step 4: Simplify right side
    699.88x = 515,406.80
  5. Step 5: Solve for x
    x = 515,406.80/699.88
  6. Step 6: Final answer
    x = 736.42

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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.