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Finding the Fourth Proportional to 1,342.98, 2,013.74 and 418.14

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Solution

The fourth proportional to 1,342.98, 2,013.74 and 418.14 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.98 : 2,013.74 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,342.98/2,013.74 = 418.14/x
  3. Step 3: Cross multiply
    1,342.98x = 2,013.74 × 418.14
  4. Step 4: Simplify right side
    1,342.98x = 842,025.24
  5. Step 5: Solve for x
    x = 842,025.24/1,342.98
  6. Step 6: Final answer
    x = 626.98

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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.