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Finding the Fourth Proportional to 1,007.96, 1,512.27 and 391.82

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Solution

The fourth proportional to 1,007.96, 1,512.27 and 391.82 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.96 : 1,512.27 = 391.82 : x
  2. Step 2: Convert to fraction form
    1,007.96/1,512.27 = 391.82/x
  3. Step 3: Cross multiply
    1,007.96x = 1,512.27 × 391.82
  4. Step 4: Simplify right side
    1,007.96x = 592,530.07
  5. Step 5: Solve for x
    x = 592,530.07/1,007.96
  6. Step 6: Final answer
    x = 587.85

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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.