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Finding the Fourth Proportional to 1,342.66, 2,013.30 and 562.45

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Solution

The fourth proportional to 1,342.66, 2,013.30 and 562.45 is: 843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.66 : 2,013.30 = 562.45 : x
  2. Step 2: Convert to fraction form
    1,342.66/2,013.30 = 562.45/x
  3. Step 3: Cross multiply
    1,342.66x = 2,013.30 × 562.45
  4. Step 4: Simplify right side
    1,342.66x = 1,132,380.59
  5. Step 5: Solve for x
    x = 1,132,380.59/1,342.66
  6. Step 6: Final answer
    x = 843.39

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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.