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Finding the Fourth Proportional to 1,578.01, 2,365.34 and 754.55

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Solution

The fourth proportional to 1,578.01, 2,365.34 and 754.55 is: 1,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.01 : 2,365.34 = 754.55 : x
  2. Step 2: Convert to fraction form
    1,578.01/2,365.34 = 754.55/x
  3. Step 3: Cross multiply
    1,578.01x = 2,365.34 × 754.55
  4. Step 4: Simplify right side
    1,578.01x = 1,784,767.30
  5. Step 5: Solve for x
    x = 1,784,767.30/1,578.01
  6. Step 6: Final answer
    x = 1,131.02

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