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Finding the Fourth Proportional to 1,342.31, 2,013.78 and 520.66

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Solution

The fourth proportional to 1,342.31, 2,013.78 and 520.66 is: 781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.31 : 2,013.78 = 520.66 : x
  2. Step 2: Convert to fraction form
    1,342.31/2,013.78 = 520.66/x
  3. Step 3: Cross multiply
    1,342.31x = 2,013.78 × 520.66
  4. Step 4: Simplify right side
    1,342.31x = 1,048,484.63
  5. Step 5: Solve for x
    x = 1,048,484.63/1,342.31
  6. Step 6: Final answer
    x = 781.10

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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.