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Finding the Fourth Proportional to 1,342.14, 2,012.72 and 464.42

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Solution

The fourth proportional to 1,342.14, 2,012.72 and 464.42 is: 696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.14 : 2,012.72 = 464.42 : x
  2. Step 2: Convert to fraction form
    1,342.14/2,012.72 = 464.42/x
  3. Step 3: Cross multiply
    1,342.14x = 2,012.72 × 464.42
  4. Step 4: Simplify right side
    1,342.14x = 934,747.42
  5. Step 5: Solve for x
    x = 934,747.42/1,342.14
  6. Step 6: Final answer
    x = 696.46

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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.