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Finding the Fourth Proportional to 1,150.77, 1,724.54 and 622.53

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Solution

The fourth proportional to 1,150.77, 1,724.54 and 622.53 is: 932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.77 : 1,724.54 = 622.53 : x
  2. Step 2: Convert to fraction form
    1,150.77/1,724.54 = 622.53/x
  3. Step 3: Cross multiply
    1,150.77x = 1,724.54 × 622.53
  4. Step 4: Simplify right side
    1,150.77x = 1,073,582.20
  5. Step 5: Solve for x
    x = 1,073,582.20/1,150.77
  6. Step 6: Final answer
    x = 932.93

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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.