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Finding the Fourth Proportional to 1,013.80, 1,519.74 and 580.12

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Solution

The fourth proportional to 1,013.80, 1,519.74 and 580.12 is: 869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.80 : 1,519.74 = 580.12 : x
  2. Step 2: Convert to fraction form
    1,013.80/1,519.74 = 580.12/x
  3. Step 3: Cross multiply
    1,013.80x = 1,519.74 × 580.12
  4. Step 4: Simplify right side
    1,013.80x = 881,631.57
  5. Step 5: Solve for x
    x = 881,631.57/1,013.80
  6. Step 6: Final answer
    x = 869.63

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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.