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Finding the Fourth Proportional to 1,679.93, 2,520.23 and 584.34

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Solution

The fourth proportional to 1,679.93, 2,520.23 and 584.34 is: 876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.93 : 2,520.23 = 584.34 : x
  2. Step 2: Convert to fraction form
    1,679.93/2,520.23 = 584.34/x
  3. Step 3: Cross multiply
    1,679.93x = 2,520.23 × 584.34
  4. Step 4: Simplify right side
    1,679.93x = 1,472,671.20
  5. Step 5: Solve for x
    x = 1,472,671.20/1,679.93
  6. Step 6: Final answer
    x = 876.63

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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.