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Finding the Fourth Proportional to 1,342.34, 2,012.97 and 464.66

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Solution

The fourth proportional to 1,342.34, 2,012.97 and 464.66 is: 696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.34 : 2,012.97 = 464.66 : x
  2. Step 2: Convert to fraction form
    1,342.34/2,012.97 = 464.66/x
  3. Step 3: Cross multiply
    1,342.34x = 2,012.97 × 464.66
  4. Step 4: Simplify right side
    1,342.34x = 935,346.64
  5. Step 5: Solve for x
    x = 935,346.64/1,342.34
  6. Step 6: Final answer
    x = 696.80

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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.