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Finding the Fourth Proportional to 1,679.45, 2,519.15 and 653.45

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Solution

The fourth proportional to 1,679.45, 2,519.15 and 653.45 is: 980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.45 : 2,519.15 = 653.45 : x
  2. Step 2: Convert to fraction form
    1,679.45/2,519.15 = 653.45/x
  3. Step 3: Cross multiply
    1,679.45x = 2,519.15 × 653.45
  4. Step 4: Simplify right side
    1,679.45x = 1,646,125.97
  5. Step 5: Solve for x
    x = 1,646,125.97/1,679.45
  6. Step 6: Final answer
    x = 980.16

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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.