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Finding the Fourth Proportional to 1,421.15, 1,960.67 and 800.15

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Solution

The fourth proportional to 1,421.15, 1,960.67 and 800.15 is: 1,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.15 : 1,960.67 = 800.15 : x
  2. Step 2: Convert to fraction form
    1,421.15/1,960.67 = 800.15/x
  3. Step 3: Cross multiply
    1,421.15x = 1,960.67 × 800.15
  4. Step 4: Simplify right side
    1,421.15x = 1,568,822.30
  5. Step 5: Solve for x
    x = 1,568,822.30/1,421.15
  6. Step 6: Final answer
    x = 1,103.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.