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Finding the Fourth Proportional to 1,378.98, 2,068.92 and 405.09

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Solution

The fourth proportional to 1,378.98, 2,068.92 and 405.09 is: 607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.98 : 2,068.92 = 405.09 : x
  2. Step 2: Convert to fraction form
    1,378.98/2,068.92 = 405.09/x
  3. Step 3: Cross multiply
    1,378.98x = 2,068.92 × 405.09
  4. Step 4: Simplify right side
    1,378.98x = 838,098.80
  5. Step 5: Solve for x
    x = 838,098.80/1,378.98
  6. Step 6: Final answer
    x = 607.77

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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.