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Finding the Fourth Proportional to 1,342.42, 2,013.17 and 520.47

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Solution

The fourth proportional to 1,342.42, 2,013.17 and 520.47 is: 780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.42 : 2,013.17 = 520.47 : x
  2. Step 2: Convert to fraction form
    1,342.42/2,013.17 = 520.47/x
  3. Step 3: Cross multiply
    1,342.42x = 2,013.17 × 520.47
  4. Step 4: Simplify right side
    1,342.42x = 1,047,791.99
  5. Step 5: Solve for x
    x = 1,047,791.99/1,342.42
  6. Step 6: Final answer
    x = 780.53

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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.