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Finding the Fourth Proportional to 1,151.26, 1,728.33 and 922.99

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Solution

The fourth proportional to 1,151.26, 1,728.33 and 922.99 is: 1,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.26 : 1,728.33 = 922.99 : x
  2. Step 2: Convert to fraction form
    1,151.26/1,728.33 = 922.99/x
  3. Step 3: Cross multiply
    1,151.26x = 1,728.33 × 922.99
  4. Step 4: Simplify right side
    1,151.26x = 1,595,231.31
  5. Step 5: Solve for x
    x = 1,595,231.31/1,151.26
  6. Step 6: Final answer
    x = 1,385.65

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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.