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Finding the Fourth Proportional to 561.79, 842.92 and 514.03

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Solution

The fourth proportional to 561.79, 842.92 and 514.03 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.79 : 842.92 = 514.03 : x
  2. Step 2: Convert to fraction form
    561.79/842.92 = 514.03/x
  3. Step 3: Cross multiply
    561.79x = 842.92 × 514.03
  4. Step 4: Simplify right side
    561.79x = 433,286.17
  5. Step 5: Solve for x
    x = 433,286.17/561.79
  6. Step 6: Final answer
    x = 771.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.