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Finding the Fourth Proportional to 824.33, 1,137.42 and 509.87

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Solution

The fourth proportional to 824.33, 1,137.42 and 509.87 is: 703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.33 : 1,137.42 = 509.87 : x
  2. Step 2: Convert to fraction form
    824.33/1,137.42 = 509.87/x
  3. Step 3: Cross multiply
    824.33x = 1,137.42 × 509.87
  4. Step 4: Simplify right side
    824.33x = 579,936.34
  5. Step 5: Solve for x
    x = 579,936.34/824.33
  6. Step 6: Final answer
    x = 703.52

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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.