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Finding the Fourth Proportional to 3,772.13, 5,658.45 and 998.77

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Solution

The fourth proportional to 3,772.13, 5,658.45 and 998.77 is: 1,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.13 : 5,658.45 = 998.77 : x
  2. Step 2: Convert to fraction form
    3,772.13/5,658.45 = 998.77/x
  3. Step 3: Cross multiply
    3,772.13x = 5,658.45 × 998.77
  4. Step 4: Simplify right side
    3,772.13x = 5,651,469.72
  5. Step 5: Solve for x
    x = 5,651,469.72/3,772.13
  6. Step 6: Final answer
    x = 1,498.22

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1.5x scale

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.