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Finding the Fourth Proportional to 715.59, 993.30 and 698.31

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Solution

The fourth proportional to 715.59, 993.30 and 698.31 is: 969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.59 : 993.30 = 698.31 : x
  2. Step 2: Convert to fraction form
    715.59/993.30 = 698.31/x
  3. Step 3: Cross multiply
    715.59x = 993.30 × 698.31
  4. Step 4: Simplify right side
    715.59x = 693,631.32
  5. Step 5: Solve for x
    x = 693,631.32/715.59
  6. Step 6: Final answer
    x = 969.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.