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Finding the Fourth Proportional to 1,367.65, 2,052.20 and 790.93

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Solution

The fourth proportional to 1,367.65, 2,052.20 and 790.93 is: 1,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.65 : 2,052.20 = 790.93 : x
  2. Step 2: Convert to fraction form
    1,367.65/2,052.20 = 790.93/x
  3. Step 3: Cross multiply
    1,367.65x = 2,052.20 × 790.93
  4. Step 4: Simplify right side
    1,367.65x = 1,623,146.55
  5. Step 5: Solve for x
    x = 1,623,146.55/1,367.65
  6. Step 6: Final answer
    x = 1,186.81

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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.