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Finding the Fourth Proportional to 1,211.94, 1,669.77 and 797.22

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Solution

The fourth proportional to 1,211.94, 1,669.77 and 797.22 is: 1,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.94 : 1,669.77 = 797.22 : x
  2. Step 2: Convert to fraction form
    1,211.94/1,669.77 = 797.22/x
  3. Step 3: Cross multiply
    1,211.94x = 1,669.77 × 797.22
  4. Step 4: Simplify right side
    1,211.94x = 1,331,174.04
  5. Step 5: Solve for x
    x = 1,331,174.04/1,211.94
  6. Step 6: Final answer
    x = 1,098.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.