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Finding the Fourth Proportional to 1,689.38, 2,534.07 and 593.54

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Solution

The fourth proportional to 1,689.38, 2,534.07 and 593.54 is: 890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.38 : 2,534.07 = 593.54 : x
  2. Step 2: Convert to fraction form
    1,689.38/2,534.07 = 593.54/x
  3. Step 3: Cross multiply
    1,689.38x = 2,534.07 × 593.54
  4. Step 4: Simplify right side
    1,689.38x = 1,504,071.91
  5. Step 5: Solve for x
    x = 1,504,071.91/1,689.38
  6. Step 6: Final answer
    x = 890.31

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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.