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Finding the Fourth Proportional to 708.80, 1,063.68 and 464.96

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Solution

The fourth proportional to 708.80, 1,063.68 and 464.96 is: 697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 1,063.68 = 464.96 : x
  2. Step 2: Convert to fraction form
    708.80/1,063.68 = 464.96/x
  3. Step 3: Cross multiply
    708.80x = 1,063.68 × 464.96
  4. Step 4: Simplify right side
    708.80x = 494,568.65
  5. Step 5: Solve for x
    x = 494,568.65/708.80
  6. Step 6: Final answer
    x = 697.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.