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Finding the Fourth Proportional to 794.44, 1,095.13 and 510.82

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Solution

The fourth proportional to 794.44, 1,095.13 and 510.82 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.44 : 1,095.13 = 510.82 : x
  2. Step 2: Convert to fraction form
    794.44/1,095.13 = 510.82/x
  3. Step 3: Cross multiply
    794.44x = 1,095.13 × 510.82
  4. Step 4: Simplify right side
    794.44x = 559,414.31
  5. Step 5: Solve for x
    x = 559,414.31/794.44
  6. Step 6: Final answer
    x = 704.16

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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.