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Finding the Fourth Proportional to 1,095.78, 1,512.17 and 598.43

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Solution

The fourth proportional to 1,095.78, 1,512.17 and 598.43 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.78 : 1,512.17 = 598.43 : x
  2. Step 2: Convert to fraction form
    1,095.78/1,512.17 = 598.43/x
  3. Step 3: Cross multiply
    1,095.78x = 1,512.17 × 598.43
  4. Step 4: Simplify right side
    1,095.78x = 904,930.93
  5. Step 5: Solve for x
    x = 904,930.93/1,095.78
  6. Step 6: Final answer
    x = 825.83

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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.