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Finding the Fourth Proportional to 824.63, 1,137.99 and 562.64

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Solution

The fourth proportional to 824.63, 1,137.99 and 562.64 is: 776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,137.99 = 562.64 : x
  2. Step 2: Convert to fraction form
    824.63/1,137.99 = 562.64/x
  3. Step 3: Cross multiply
    824.63x = 1,137.99 × 562.64
  4. Step 4: Simplify right side
    824.63x = 640,273.00
  5. Step 5: Solve for x
    x = 640,273.00/824.63
  6. Step 6: Final answer
    x = 776.44

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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.