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Finding the Fourth Proportional to 1,167.24, 1,747.20 and 992.28

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Solution

The fourth proportional to 1,167.24, 1,747.20 and 992.28 is: 1,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.24 : 1,747.20 = 992.28 : x
  2. Step 2: Convert to fraction form
    1,167.24/1,747.20 = 992.28/x
  3. Step 3: Cross multiply
    1,167.24x = 1,747.20 × 992.28
  4. Step 4: Simplify right side
    1,167.24x = 1,733,711.62
  5. Step 5: Solve for x
    x = 1,733,711.62/1,167.24
  6. Step 6: Final answer
    x = 1,485.31

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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.