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Finding the Fourth Proportional to 519.72, 712.56 and 510.48

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Solution

The fourth proportional to 519.72, 712.56 and 510.48 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 712.56 = 510.48 : x
  2. Step 2: Convert to fraction form
    519.72/712.56 = 510.48/x
  3. Step 3: Cross multiply
    519.72x = 712.56 × 510.48
  4. Step 4: Simplify right side
    519.72x = 363,747.63
  5. Step 5: Solve for x
    x = 363,747.63/519.72
  6. Step 6: Final answer
    x = 699.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.