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Finding the Fourth Proportional to 1,123.97, 1,686 and 302.31

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Solution

The fourth proportional to 1,123.97, 1,686 and 302.31 is: 453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.97 : 1,686 = 302.31 : x
  2. Step 2: Convert to fraction form
    1,123.97/1,686 = 302.31/x
  3. Step 3: Cross multiply
    1,123.97x = 1,686 × 302.31
  4. Step 4: Simplify right side
    1,123.97x = 509,694.66
  5. Step 5: Solve for x
    x = 509,694.66/1,123.97
  6. Step 6: Final answer
    x = 453.48

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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.