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Finding the Fourth Proportional to 1,314.22, 1,967.85 and 793.53

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Solution

The fourth proportional to 1,314.22, 1,967.85 and 793.53 is: 1,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.22 : 1,967.85 = 793.53 : x
  2. Step 2: Convert to fraction form
    1,314.22/1,967.85 = 793.53/x
  3. Step 3: Cross multiply
    1,314.22x = 1,967.85 × 793.53
  4. Step 4: Simplify right side
    1,314.22x = 1,561,548.01
  5. Step 5: Solve for x
    x = 1,561,548.01/1,314.22
  6. Step 6: Final answer
    x = 1,188.19

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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.