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Finding the Fourth Proportional to 1,013.72, 1,519.97 and 364.23

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Solution

The fourth proportional to 1,013.72, 1,519.97 and 364.23 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.72 : 1,519.97 = 364.23 : x
  2. Step 2: Convert to fraction form
    1,013.72/1,519.97 = 364.23/x
  3. Step 3: Cross multiply
    1,013.72x = 1,519.97 × 364.23
  4. Step 4: Simplify right side
    1,013.72x = 553,616.85
  5. Step 5: Solve for x
    x = 553,616.85/1,013.72
  6. Step 6: Final answer
    x = 546.13

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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.