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Finding the Fourth Proportional to 1,011.94, 1,518 and 464.27

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Solution

The fourth proportional to 1,011.94, 1,518 and 464.27 is: 696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.94 : 1,518 = 464.27 : x
  2. Step 2: Convert to fraction form
    1,011.94/1,518 = 464.27/x
  3. Step 3: Cross multiply
    1,011.94x = 1,518 × 464.27
  4. Step 4: Simplify right side
    1,011.94x = 704,765.66
  5. Step 5: Solve for x
    x = 704,765.66/1,011.94
  6. Step 6: Final answer
    x = 696.45

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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.