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Finding the Fourth Proportional to 601.78, 829.89 and 513.30

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Solution

The fourth proportional to 601.78, 829.89 and 513.30 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.78 : 829.89 = 513.30 : x
  2. Step 2: Convert to fraction form
    601.78/829.89 = 513.30/x
  3. Step 3: Cross multiply
    601.78x = 829.89 × 513.30
  4. Step 4: Simplify right side
    601.78x = 425,978.39
  5. Step 5: Solve for x
    x = 425,978.39/601.78
  6. Step 6: Final answer
    x = 707.86

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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.