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Finding the Fourth Proportional to 698.85, 964.67 and 574.65

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Solution

The fourth proportional to 698.85, 964.67 and 574.65 is: 793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.85 : 964.67 = 574.65 : x
  2. Step 2: Convert to fraction form
    698.85/964.67 = 574.65/x
  3. Step 3: Cross multiply
    698.85x = 964.67 × 574.65
  4. Step 4: Simplify right side
    698.85x = 554,344.74
  5. Step 5: Solve for x
    x = 554,344.74/698.85
  6. Step 6: Final answer
    x = 793.22

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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.