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Finding the Fourth Proportional to 1,122.07, 1,682.79 and 391.63

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Solution

The fourth proportional to 1,122.07, 1,682.79 and 391.63 is: 587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.07 : 1,682.79 = 391.63 : x
  2. Step 2: Convert to fraction form
    1,122.07/1,682.79 = 391.63/x
  3. Step 3: Cross multiply
    1,122.07x = 1,682.79 × 391.63
  4. Step 4: Simplify right side
    1,122.07x = 659,031.05
  5. Step 5: Solve for x
    x = 659,031.05/1,122.07
  6. Step 6: Final answer
    x = 587.34

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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.