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Finding the Fourth Proportional to 1,393.28, 1,922.76 and 772.24

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Solution

The fourth proportional to 1,393.28, 1,922.76 and 772.24 is: 1,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.28 : 1,922.76 = 772.24 : x
  2. Step 2: Convert to fraction form
    1,393.28/1,922.76 = 772.24/x
  3. Step 3: Cross multiply
    1,393.28x = 1,922.76 × 772.24
  4. Step 4: Simplify right side
    1,393.28x = 1,484,832.18
  5. Step 5: Solve for x
    x = 1,484,832.18/1,393.28
  6. Step 6: Final answer
    x = 1,065.71

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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.