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Finding the Fourth Proportional to 1,299.91, 1,793.24 and 945.28

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Solution

The fourth proportional to 1,299.91, 1,793.24 and 945.28 is: 1,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.91 : 1,793.24 = 945.28 : x
  2. Step 2: Convert to fraction form
    1,299.91/1,793.24 = 945.28/x
  3. Step 3: Cross multiply
    1,299.91x = 1,793.24 × 945.28
  4. Step 4: Simplify right side
    1,299.91x = 1,695,113.91
  5. Step 5: Solve for x
    x = 1,695,113.91/1,299.91
  6. Step 6: Final answer
    x = 1,304.02

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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.