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Finding the Fourth Proportional to 1,007.96, 1,512.17 and 314.69

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Solution

The fourth proportional to 1,007.96, 1,512.17 and 314.69 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.96 : 1,512.17 = 314.69 : x
  2. Step 2: Convert to fraction form
    1,007.96/1,512.17 = 314.69/x
  3. Step 3: Cross multiply
    1,007.96x = 1,512.17 × 314.69
  4. Step 4: Simplify right side
    1,007.96x = 475,856.82
  5. Step 5: Solve for x
    x = 475,856.82/1,007.96
  6. Step 6: Final answer
    x = 472.10

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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.