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Finding the Fourth Proportional to 907.92, 1,252.24 and 628.62

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Solution

The fourth proportional to 907.92, 1,252.24 and 628.62 is: 867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.92 : 1,252.24 = 628.62 : x
  2. Step 2: Convert to fraction form
    907.92/1,252.24 = 628.62/x
  3. Step 3: Cross multiply
    907.92x = 1,252.24 × 628.62
  4. Step 4: Simplify right side
    907.92x = 787,183.11
  5. Step 5: Solve for x
    x = 787,183.11/907.92
  6. Step 6: Final answer
    x = 867.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.