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Finding the Fourth Proportional to 883.92, 1,324.06 and 688.71

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Solution

The fourth proportional to 883.92, 1,324.06 and 688.71 is: 1,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,324.06 = 688.71 : x
  2. Step 2: Convert to fraction form
    883.92/1,324.06 = 688.71/x
  3. Step 3: Cross multiply
    883.92x = 1,324.06 × 688.71
  4. Step 4: Simplify right side
    883.92x = 911,891.64
  5. Step 5: Solve for x
    x = 911,891.64/883.92
  6. Step 6: Final answer
    x = 1,031.64

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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.