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Finding the Fourth Proportional to 782.08, 1,079.27 and 427.98

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Solution

The fourth proportional to 782.08, 1,079.27 and 427.98 is: 590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.08 : 1,079.27 = 427.98 : x
  2. Step 2: Convert to fraction form
    782.08/1,079.27 = 427.98/x
  3. Step 3: Cross multiply
    782.08x = 1,079.27 × 427.98
  4. Step 4: Simplify right side
    782.08x = 461,910.31
  5. Step 5: Solve for x
    x = 461,910.31/782.08
  6. Step 6: Final answer
    x = 590.62

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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.