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Finding the Fourth Proportional to 1,049.54, 1,563.91 and 934.70

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Solution

The fourth proportional to 1,049.54, 1,563.91 and 934.70 is: 1,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.54 : 1,563.91 = 934.70 : x
  2. Step 2: Convert to fraction form
    1,049.54/1,563.91 = 934.70/x
  3. Step 3: Cross multiply
    1,049.54x = 1,563.91 × 934.70
  4. Step 4: Simplify right side
    1,049.54x = 1,461,786.68
  5. Step 5: Solve for x
    x = 1,461,786.68/1,049.54
  6. Step 6: Final answer
    x = 1,392.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.