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Finding the Fourth Proportional to 643.70, 884.47 and 525.39

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Solution

The fourth proportional to 643.70, 884.47 and 525.39 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.70 : 884.47 = 525.39 : x
  2. Step 2: Convert to fraction form
    643.70/884.47 = 525.39/x
  3. Step 3: Cross multiply
    643.70x = 884.47 × 525.39
  4. Step 4: Simplify right side
    643.70x = 464,688.05
  5. Step 5: Solve for x
    x = 464,688.05/643.70
  6. Step 6: Final answer
    x = 721.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.