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Finding the Fourth Proportional to 1,108.17, 1,529.24 and 642.33

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Solution

The fourth proportional to 1,108.17, 1,529.24 and 642.33 is: 886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.17 : 1,529.24 = 642.33 : x
  2. Step 2: Convert to fraction form
    1,108.17/1,529.24 = 642.33/x
  3. Step 3: Cross multiply
    1,108.17x = 1,529.24 × 642.33
  4. Step 4: Simplify right side
    1,108.17x = 982,273.52
  5. Step 5: Solve for x
    x = 982,273.52/1,108.17
  6. Step 6: Final answer
    x = 886.39

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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.