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Finding the Fourth Proportional to 794.24, 1,095.98 and 440.15

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Solution

The fourth proportional to 794.24, 1,095.98 and 440.15 is: 607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.24 : 1,095.98 = 440.15 : x
  2. Step 2: Convert to fraction form
    794.24/1,095.98 = 440.15/x
  3. Step 3: Cross multiply
    794.24x = 1,095.98 × 440.15
  4. Step 4: Simplify right side
    794.24x = 482,396.14
  5. Step 5: Solve for x
    x = 482,396.14/794.24
  6. Step 6: Final answer
    x = 607.37

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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.