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Finding the Fourth Proportional to 1,344.98, 2,017.38 and 407.90

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Solution

The fourth proportional to 1,344.98, 2,017.38 and 407.90 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.98 : 2,017.38 = 407.90 : x
  2. Step 2: Convert to fraction form
    1,344.98/2,017.38 = 407.90/x
  3. Step 3: Cross multiply
    1,344.98x = 2,017.38 × 407.90
  4. Step 4: Simplify right side
    1,344.98x = 822,889.30
  5. Step 5: Solve for x
    x = 822,889.30/1,344.98
  6. Step 6: Final answer
    x = 611.82

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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.