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Finding the Fourth Proportional to 1,739.97, 2,609.69 and 569.97

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Solution

The fourth proportional to 1,739.97, 2,609.69 and 569.97 is: 854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.97 : 2,609.69 = 569.97 : x
  2. Step 2: Convert to fraction form
    1,739.97/2,609.69 = 569.97/x
  3. Step 3: Cross multiply
    1,739.97x = 2,609.69 × 569.97
  4. Step 4: Simplify right side
    1,739.97x = 1,487,445.01
  5. Step 5: Solve for x
    x = 1,487,445.01/1,739.97
  6. Step 6: Final answer
    x = 854.87

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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.