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Finding the Fourth Proportional to 1,031.24, 1,423.49 and 699

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Solution

The fourth proportional to 1,031.24, 1,423.49 and 699 is: 964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.24 : 1,423.49 = 699 : x
  2. Step 2: Convert to fraction form
    1,031.24/1,423.49 = 699/x
  3. Step 3: Cross multiply
    1,031.24x = 1,423.49 × 699
  4. Step 4: Simplify right side
    1,031.24x = 995,016.02
  5. Step 5: Solve for x
    x = 995,016.02/1,031.24
  6. Step 6: Final answer
    x = 964.88

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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.