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Finding the Fourth Proportional to 1,415.12, 2,119.93 and 796.93

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Solution

The fourth proportional to 1,415.12, 2,119.93 and 796.93 is: 1,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.12 : 2,119.93 = 796.93 : x
  2. Step 2: Convert to fraction form
    1,415.12/2,119.93 = 796.93/x
  3. Step 3: Cross multiply
    1,415.12x = 2,119.93 × 796.93
  4. Step 4: Simplify right side
    1,415.12x = 1,689,428.52
  5. Step 5: Solve for x
    x = 1,689,428.52/1,415.12
  6. Step 6: Final answer
    x = 1,193.85

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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.