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Finding the Fourth Proportional to 1,013.72, 1,520.52 and 364.56

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Solution

The fourth proportional to 1,013.72, 1,520.52 and 364.56 is: 546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.72 : 1,520.52 = 364.56 : x
  2. Step 2: Convert to fraction form
    1,013.72/1,520.52 = 364.56/x
  3. Step 3: Cross multiply
    1,013.72x = 1,520.52 × 364.56
  4. Step 4: Simplify right side
    1,013.72x = 554,320.77
  5. Step 5: Solve for x
    x = 554,320.77/1,013.72
  6. Step 6: Final answer
    x = 546.82

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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.