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Finding the Fourth Proportional to 1,605.72, 2,407.14 and 579.48

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Solution

The fourth proportional to 1,605.72, 2,407.14 and 579.48 is: 868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.72 : 2,407.14 = 579.48 : x
  2. Step 2: Convert to fraction form
    1,605.72/2,407.14 = 579.48/x
  3. Step 3: Cross multiply
    1,605.72x = 2,407.14 × 579.48
  4. Step 4: Simplify right side
    1,605.72x = 1,394,889.49
  5. Step 5: Solve for x
    x = 1,394,889.49/1,605.72
  6. Step 6: Final answer
    x = 868.70

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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.