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Finding the Fourth Proportional to 1,679.14, 2,519.16 and 583.58

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Solution

The fourth proportional to 1,679.14, 2,519.16 and 583.58 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.14 : 2,519.16 = 583.58 : x
  2. Step 2: Convert to fraction form
    1,679.14/2,519.16 = 583.58/x
  3. Step 3: Cross multiply
    1,679.14x = 2,519.16 × 583.58
  4. Step 4: Simplify right side
    1,679.14x = 1,470,131.39
  5. Step 5: Solve for x
    x = 1,470,131.39/1,679.14
  6. Step 6: Final answer
    x = 875.53

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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.