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Finding the Fourth Proportional to 699.45, 965.57 and 534.35

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Solution

The fourth proportional to 699.45, 965.57 and 534.35 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.45 : 965.57 = 534.35 : x
  2. Step 2: Convert to fraction form
    699.45/965.57 = 534.35/x
  3. Step 3: Cross multiply
    699.45x = 965.57 × 534.35
  4. Step 4: Simplify right side
    699.45x = 515,944.83
  5. Step 5: Solve for x
    x = 515,944.83/699.45
  6. Step 6: Final answer
    x = 737.64

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Why These Related Problems?

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