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Finding the Fourth Proportional to 884.68, 1,221.06 and 573.64

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Solution

The fourth proportional to 884.68, 1,221.06 and 573.64 is: 791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.68 : 1,221.06 = 573.64 : x
  2. Step 2: Convert to fraction form
    884.68/1,221.06 = 573.64/x
  3. Step 3: Cross multiply
    884.68x = 1,221.06 × 573.64
  4. Step 4: Simplify right side
    884.68x = 700,448.86
  5. Step 5: Solve for x
    x = 700,448.86/884.68
  6. Step 6: Final answer
    x = 791.75

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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.