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Finding the Fourth Proportional to 1,153.89, 1,589.51 and 838.24

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Solution

The fourth proportional to 1,153.89, 1,589.51 and 838.24 is: 1,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.89 : 1,589.51 = 838.24 : x
  2. Step 2: Convert to fraction form
    1,153.89/1,589.51 = 838.24/x
  3. Step 3: Cross multiply
    1,153.89x = 1,589.51 × 838.24
  4. Step 4: Simplify right side
    1,153.89x = 1,332,388.98
  5. Step 5: Solve for x
    x = 1,332,388.98/1,153.89
  6. Step 6: Final answer
    x = 1,154.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.