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Finding the Fourth Proportional to 1,771.83, 2,658.14 and 676.20

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Solution

The fourth proportional to 1,771.83, 2,658.14 and 676.20 is: 1,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.83 : 2,658.14 = 676.20 : x
  2. Step 2: Convert to fraction form
    1,771.83/2,658.14 = 676.20/x
  3. Step 3: Cross multiply
    1,771.83x = 2,658.14 × 676.20
  4. Step 4: Simplify right side
    1,771.83x = 1,797,434.27
  5. Step 5: Solve for x
    x = 1,797,434.27/1,771.83
  6. Step 6: Final answer
    x = 1,014.45

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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.