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Finding the Fourth Proportional to 1,342.47, 2,012.96 and 464.51

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Solution

The fourth proportional to 1,342.47, 2,012.96 and 464.51 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.47 : 2,012.96 = 464.51 : x
  2. Step 2: Convert to fraction form
    1,342.47/2,012.96 = 464.51/x
  3. Step 3: Cross multiply
    1,342.47x = 2,012.96 × 464.51
  4. Step 4: Simplify right side
    1,342.47x = 935,027.66
  5. Step 5: Solve for x
    x = 935,027.66/1,342.47
  6. Step 6: Final answer
    x = 696.50

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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.