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Finding the Fourth Proportional to 824.13, 1,137.47 and 562.23

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Solution

The fourth proportional to 824.13, 1,137.47 and 562.23 is: 775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.13 : 1,137.47 = 562.23 : x
  2. Step 2: Convert to fraction form
    824.13/1,137.47 = 562.23/x
  3. Step 3: Cross multiply
    824.13x = 1,137.47 × 562.23
  4. Step 4: Simplify right side
    824.13x = 639,516.95
  5. Step 5: Solve for x
    x = 639,516.95/824.13
  6. Step 6: Final answer
    x = 775.99

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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.