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Finding the Fourth Proportional to 1,679.56, 2,519.34 and 583.66

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Solution

The fourth proportional to 1,679.56, 2,519.34 and 583.66 is: 875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.56 : 2,519.34 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,679.56/2,519.34 = 583.66/x
  3. Step 3: Cross multiply
    1,679.56x = 2,519.34 × 583.66
  4. Step 4: Simplify right side
    1,679.56x = 1,470,437.98
  5. Step 5: Solve for x
    x = 1,470,437.98/1,679.56
  6. Step 6: Final answer
    x = 875.49

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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.