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Finding the Fourth Proportional to 698.07, 964.62 and 531.99

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Solution

The fourth proportional to 698.07, 964.62 and 531.99 is: 735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 964.62 = 531.99 : x
  2. Step 2: Convert to fraction form
    698.07/964.62 = 531.99/x
  3. Step 3: Cross multiply
    698.07x = 964.62 × 531.99
  4. Step 4: Simplify right side
    698.07x = 513,168.19
  5. Step 5: Solve for x
    x = 513,168.19/698.07
  6. Step 6: Final answer
    x = 735.12

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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.