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Finding the Fourth Proportional to 862.83, 1,299.32 and 621.04

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Solution

The fourth proportional to 862.83, 1,299.32 and 621.04 is: 935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.83 : 1,299.32 = 621.04 : x
  2. Step 2: Convert to fraction form
    862.83/1,299.32 = 621.04/x
  3. Step 3: Cross multiply
    862.83x = 1,299.32 × 621.04
  4. Step 4: Simplify right side
    862.83x = 806,929.69
  5. Step 5: Solve for x
    x = 806,929.69/862.83
  6. Step 6: Final answer
    x = 935.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.