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Finding the Fourth Proportional to 1,153.77, 1,589.34 and 838.11

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Solution

The fourth proportional to 1,153.77, 1,589.34 and 838.11 is: 1,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.77 : 1,589.34 = 838.11 : x
  2. Step 2: Convert to fraction form
    1,153.77/1,589.34 = 838.11/x
  3. Step 3: Cross multiply
    1,153.77x = 1,589.34 × 838.11
  4. Step 4: Simplify right side
    1,153.77x = 1,332,041.75
  5. Step 5: Solve for x
    x = 1,332,041.75/1,153.77
  6. Step 6: Final answer
    x = 1,154.51

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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.