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Finding the Fourth Proportional to 1,367.82, 2,051.73 and 502.14

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Solution

The fourth proportional to 1,367.82, 2,051.73 and 502.14 is: 753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.82 : 2,051.73 = 502.14 : x
  2. Step 2: Convert to fraction form
    1,367.82/2,051.73 = 502.14/x
  3. Step 3: Cross multiply
    1,367.82x = 2,051.73 × 502.14
  4. Step 4: Simplify right side
    1,367.82x = 1,030,255.70
  5. Step 5: Solve for x
    x = 1,030,255.70/1,367.82
  6. Step 6: Final answer
    x = 753.21

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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.