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Finding the Fourth Proportional to 1,367.36, 2,051.17 and 545.45

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Solution

The fourth proportional to 1,367.36, 2,051.17 and 545.45 is: 818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.36 : 2,051.17 = 545.45 : x
  2. Step 2: Convert to fraction form
    1,367.36/2,051.17 = 545.45/x
  3. Step 3: Cross multiply
    1,367.36x = 2,051.17 × 545.45
  4. Step 4: Simplify right side
    1,367.36x = 1,118,814.44
  5. Step 5: Solve for x
    x = 1,118,814.44/1,367.36
  6. Step 6: Final answer
    x = 818.23

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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.