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Finding the Fourth Proportional to 1,327.01, 1,991.34 and 505.35

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Solution

The fourth proportional to 1,327.01, 1,991.34 and 505.35 is: 758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.01 : 1,991.34 = 505.35 : x
  2. Step 2: Convert to fraction form
    1,327.01/1,991.34 = 505.35/x
  3. Step 3: Cross multiply
    1,327.01x = 1,991.34 × 505.35
  4. Step 4: Simplify right side
    1,327.01x = 1,006,323.67
  5. Step 5: Solve for x
    x = 1,006,323.67/1,327.01
  6. Step 6: Final answer
    x = 758.34

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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.