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Finding the Fourth Proportional to 1,220.44, 1,684.16 and 723.12

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Solution

The fourth proportional to 1,220.44, 1,684.16 and 723.12 is: 997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.44 : 1,684.16 = 723.12 : x
  2. Step 2: Convert to fraction form
    1,220.44/1,684.16 = 723.12/x
  3. Step 3: Cross multiply
    1,220.44x = 1,684.16 × 723.12
  4. Step 4: Simplify right side
    1,220.44x = 1,217,849.78
  5. Step 5: Solve for x
    x = 1,217,849.78/1,220.44
  6. Step 6: Final answer
    x = 997.88

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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.