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Finding the Fourth Proportional to 1,327.71, 1,832.20 and 738.23

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Solution

The fourth proportional to 1,327.71, 1,832.20 and 738.23 is: 1,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.71 : 1,832.20 = 738.23 : x
  2. Step 2: Convert to fraction form
    1,327.71/1,832.20 = 738.23/x
  3. Step 3: Cross multiply
    1,327.71x = 1,832.20 × 738.23
  4. Step 4: Simplify right side
    1,327.71x = 1,352,585.01
  5. Step 5: Solve for x
    x = 1,352,585.01/1,327.71
  6. Step 6: Final answer
    x = 1,018.74

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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.