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Finding the Fourth Proportional to 1,552.47, 2,327.82 and 512.19

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Solution

The fourth proportional to 1,552.47, 2,327.82 and 512.19 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.47 : 2,327.82 = 512.19 : x
  2. Step 2: Convert to fraction form
    1,552.47/2,327.82 = 512.19/x
  3. Step 3: Cross multiply
    1,552.47x = 2,327.82 × 512.19
  4. Step 4: Simplify right side
    1,552.47x = 1,192,284.21
  5. Step 5: Solve for x
    x = 1,192,284.21/1,552.47
  6. Step 6: Final answer
    x = 767.99

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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.