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Finding the Fourth Proportional to 1,575.85, 2,363.61 and 480.23

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Solution

The fourth proportional to 1,575.85, 2,363.61 and 480.23 is: 720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.85 : 2,363.61 = 480.23 : x
  2. Step 2: Convert to fraction form
    1,575.85/2,363.61 = 480.23/x
  3. Step 3: Cross multiply
    1,575.85x = 2,363.61 × 480.23
  4. Step 4: Simplify right side
    1,575.85x = 1,135,062.21
  5. Step 5: Solve for x
    x = 1,135,062.21/1,575.85
  6. Step 6: Final answer
    x = 720.29

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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.