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Finding the Fourth Proportional to 1,322.06, 1,824.26 and 790.79

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Solution

The fourth proportional to 1,322.06, 1,824.26 and 790.79 is: 1,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.06 : 1,824.26 = 790.79 : x
  2. Step 2: Convert to fraction form
    1,322.06/1,824.26 = 790.79/x
  3. Step 3: Cross multiply
    1,322.06x = 1,824.26 × 790.79
  4. Step 4: Simplify right side
    1,322.06x = 1,442,593.49
  5. Step 5: Solve for x
    x = 1,442,593.49/1,322.06
  6. Step 6: Final answer
    x = 1,091.18

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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.