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Finding the Fourth Proportional to 1,367.90, 2,051.62 and 444.11

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Solution

The fourth proportional to 1,367.90, 2,051.62 and 444.11 is: 666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.90 : 2,051.62 = 444.11 : x
  2. Step 2: Convert to fraction form
    1,367.90/2,051.62 = 444.11/x
  3. Step 3: Cross multiply
    1,367.90x = 2,051.62 × 444.11
  4. Step 4: Simplify right side
    1,367.90x = 911,142.74
  5. Step 5: Solve for x
    x = 911,142.74/1,367.90
  6. Step 6: Final answer
    x = 666.09

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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.