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Finding the Fourth Proportional to 1,342.62, 2,013.69 and 368.59

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Solution

The fourth proportional to 1,342.62, 2,013.69 and 368.59 is: 552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.62 : 2,013.69 = 368.59 : x
  2. Step 2: Convert to fraction form
    1,342.62/2,013.69 = 368.59/x
  3. Step 3: Cross multiply
    1,342.62x = 2,013.69 × 368.59
  4. Step 4: Simplify right side
    1,342.62x = 742,231.03
  5. Step 5: Solve for x
    x = 742,231.03/1,342.62
  6. Step 6: Final answer
    x = 552.82

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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.