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Finding the Fourth Proportional to 1,072.16, 1,608.26 and 909.20

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Solution

The fourth proportional to 1,072.16, 1,608.26 and 909.20 is: 1,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.16 : 1,608.26 = 909.20 : x
  2. Step 2: Convert to fraction form
    1,072.16/1,608.26 = 909.20/x
  3. Step 3: Cross multiply
    1,072.16x = 1,608.26 × 909.20
  4. Step 4: Simplify right side
    1,072.16x = 1,462,229.99
  5. Step 5: Solve for x
    x = 1,462,229.99/1,072.16
  6. Step 6: Final answer
    x = 1,363.82

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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.