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Finding the Fourth Proportional to 1,012.46, 1,519.42 and 464.30

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Solution

The fourth proportional to 1,012.46, 1,519.42 and 464.30 is: 696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.46 : 1,519.42 = 464.30 : x
  2. Step 2: Convert to fraction form
    1,012.46/1,519.42 = 464.30/x
  3. Step 3: Cross multiply
    1,012.46x = 1,519.42 × 464.30
  4. Step 4: Simplify right side
    1,012.46x = 705,466.71
  5. Step 5: Solve for x
    x = 705,466.71/1,012.46
  6. Step 6: Final answer
    x = 696.78

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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.