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Finding the Fourth Proportional to 1,735.99, 2,604.25 and 581.47

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Solution

The fourth proportional to 1,735.99, 2,604.25 and 581.47 is: 872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.99 : 2,604.25 = 581.47 : x
  2. Step 2: Convert to fraction form
    1,735.99/2,604.25 = 581.47/x
  3. Step 3: Cross multiply
    1,735.99x = 2,604.25 × 581.47
  4. Step 4: Simplify right side
    1,735.99x = 1,514,292.17
  5. Step 5: Solve for x
    x = 1,514,292.17/1,735.99
  6. Step 6: Final answer
    x = 872.29

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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.