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Finding the Fourth Proportional to 1,012.29, 1,518.63 and 464.12

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Solution

The fourth proportional to 1,012.29, 1,518.63 and 464.12 is: 696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.29 : 1,518.63 = 464.12 : x
  2. Step 2: Convert to fraction form
    1,012.29/1,518.63 = 464.12/x
  3. Step 3: Cross multiply
    1,012.29x = 1,518.63 × 464.12
  4. Step 4: Simplify right side
    1,012.29x = 704,826.56
  5. Step 5: Solve for x
    x = 704,826.56/1,012.29
  6. Step 6: Final answer
    x = 696.27

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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.