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Finding the Fourth Proportional to 675.83, 1,013.75 and 188.87

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Solution

The fourth proportional to 675.83, 1,013.75 and 188.87 is: 283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.83 : 1,013.75 = 188.87 : x
  2. Step 2: Convert to fraction form
    675.83/1,013.75 = 188.87/x
  3. Step 3: Cross multiply
    675.83x = 1,013.75 × 188.87
  4. Step 4: Simplify right side
    675.83x = 191,469.97
  5. Step 5: Solve for x
    x = 191,469.97/675.83
  6. Step 6: Final answer
    x = 283.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.