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Finding the Fourth Proportional to 824.34, 1,137.33 and 514.02

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Solution

The fourth proportional to 824.34, 1,137.33 and 514.02 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.34 : 1,137.33 = 514.02 : x
  2. Step 2: Convert to fraction form
    824.34/1,137.33 = 514.02/x
  3. Step 3: Cross multiply
    824.34x = 1,137.33 × 514.02
  4. Step 4: Simplify right side
    824.34x = 584,610.37
  5. Step 5: Solve for x
    x = 584,610.37/824.34
  6. Step 6: Final answer
    x = 709.19

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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.