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Finding the Fourth Proportional to 824.56, 1,138.08 and 514

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Solution

The fourth proportional to 824.56, 1,138.08 and 514 is: 709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.56 : 1,138.08 = 514 : x
  2. Step 2: Convert to fraction form
    824.56/1,138.08 = 514/x
  3. Step 3: Cross multiply
    824.56x = 1,138.08 × 514
  4. Step 4: Simplify right side
    824.56x = 584,973.12
  5. Step 5: Solve for x
    x = 584,973.12/824.56
  6. Step 6: Final answer
    x = 709.44

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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.