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Finding the Fourth Proportional to 1,396.70, 1,927.42 and 807.22

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Solution

The fourth proportional to 1,396.70, 1,927.42 and 807.22 is: 1,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.70 : 1,927.42 = 807.22 : x
  2. Step 2: Convert to fraction form
    1,396.70/1,927.42 = 807.22/x
  3. Step 3: Cross multiply
    1,396.70x = 1,927.42 × 807.22
  4. Step 4: Simplify right side
    1,396.70x = 1,555,851.97
  5. Step 5: Solve for x
    x = 1,555,851.97/1,396.70
  6. Step 6: Final answer
    x = 1,113.95

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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.