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Finding the Fourth Proportional to 782.33, 1,079.93 and 513.27

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Solution

The fourth proportional to 782.33, 1,079.93 and 513.27 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.33 : 1,079.93 = 513.27 : x
  2. Step 2: Convert to fraction form
    782.33/1,079.93 = 513.27/x
  3. Step 3: Cross multiply
    782.33x = 1,079.93 × 513.27
  4. Step 4: Simplify right side
    782.33x = 554,295.67
  5. Step 5: Solve for x
    x = 554,295.67/782.33
  6. Step 6: Final answer
    x = 708.52

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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.