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Finding the Fourth Proportional to 884.64, 1,221.57 and 738.84

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Solution

The fourth proportional to 884.64, 1,221.57 and 738.84 is: 1,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.64 : 1,221.57 = 738.84 : x
  2. Step 2: Convert to fraction form
    884.64/1,221.57 = 738.84/x
  3. Step 3: Cross multiply
    884.64x = 1,221.57 × 738.84
  4. Step 4: Simplify right side
    884.64x = 902,544.78
  5. Step 5: Solve for x
    x = 902,544.78/884.64
  6. Step 6: Final answer
    x = 1,020.24

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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.