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Finding the Fourth Proportional to 824.16, 1,137.26 and 487.99

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Solution

The fourth proportional to 824.16, 1,137.26 and 487.99 is: 673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,137.26 = 487.99 : x
  2. Step 2: Convert to fraction form
    824.16/1,137.26 = 487.99/x
  3. Step 3: Cross multiply
    824.16x = 1,137.26 × 487.99
  4. Step 4: Simplify right side
    824.16x = 554,971.51
  5. Step 5: Solve for x
    x = 554,971.51/824.16
  6. Step 6: Final answer
    x = 673.38

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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.