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Finding the Fourth Proportional to 1,327.94, 1,992.31 and 462.25

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Solution

The fourth proportional to 1,327.94, 1,992.31 and 462.25 is: 693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.94 : 1,992.31 = 462.25 : x
  2. Step 2: Convert to fraction form
    1,327.94/1,992.31 = 462.25/x
  3. Step 3: Cross multiply
    1,327.94x = 1,992.31 × 462.25
  4. Step 4: Simplify right side
    1,327.94x = 920,945.30
  5. Step 5: Solve for x
    x = 920,945.30/1,327.94
  6. Step 6: Final answer
    x = 693.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.