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Finding the Fourth Proportional to 1,013.03, 1,519.01 and 464.73

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Solution

The fourth proportional to 1,013.03, 1,519.01 and 464.73 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.03 : 1,519.01 = 464.73 : x
  2. Step 2: Convert to fraction form
    1,013.03/1,519.01 = 464.73/x
  3. Step 3: Cross multiply
    1,013.03x = 1,519.01 × 464.73
  4. Step 4: Simplify right side
    1,013.03x = 705,929.52
  5. Step 5: Solve for x
    x = 705,929.52/1,013.03
  6. Step 6: Final answer
    x = 696.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.