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Finding the Fourth Proportional to 1,575.75, 2,363.64 and 480.09

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Solution

The fourth proportional to 1,575.75, 2,363.64 and 480.09 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.75 : 2,363.64 = 480.09 : x
  2. Step 2: Convert to fraction form
    1,575.75/2,363.64 = 480.09/x
  3. Step 3: Cross multiply
    1,575.75x = 2,363.64 × 480.09
  4. Step 4: Simplify right side
    1,575.75x = 1,134,759.93
  5. Step 5: Solve for x
    x = 1,134,759.93/1,575.75
  6. Step 6: Final answer
    x = 720.14

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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.