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Finding the Fourth Proportional to 513.66, 711.92 and 505.98

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Solution

The fourth proportional to 513.66, 711.92 and 505.98 is: 701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 711.92 = 505.98 : x
  2. Step 2: Convert to fraction form
    513.66/711.92 = 505.98/x
  3. Step 3: Cross multiply
    513.66x = 711.92 × 505.98
  4. Step 4: Simplify right side
    513.66x = 360,214.75
  5. Step 5: Solve for x
    x = 360,214.75/513.66
  6. Step 6: Final answer
    x = 701.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.