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Finding the Fourth Proportional to 1,532.69, 2,297.73 and 608.90

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Solution

The fourth proportional to 1,532.69, 2,297.73 and 608.90 is: 912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.69 : 2,297.73 = 608.90 : x
  2. Step 2: Convert to fraction form
    1,532.69/2,297.73 = 608.90/x
  3. Step 3: Cross multiply
    1,532.69x = 2,297.73 × 608.90
  4. Step 4: Simplify right side
    1,532.69x = 1,399,087.80
  5. Step 5: Solve for x
    x = 1,399,087.80/1,532.69
  6. Step 6: Final answer
    x = 912.83

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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.