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Finding the Fourth Proportional to 790.92, 1,091.34 and 727.20

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Solution

The fourth proportional to 790.92, 1,091.34 and 727.20 is: 1,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.92 : 1,091.34 = 727.20 : x
  2. Step 2: Convert to fraction form
    790.92/1,091.34 = 727.20/x
  3. Step 3: Cross multiply
    790.92x = 1,091.34 × 727.20
  4. Step 4: Simplify right side
    790.92x = 793,622.45
  5. Step 5: Solve for x
    x = 793,622.45/790.92
  6. Step 6: Final answer
    x = 1,003.42

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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.