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Finding the Fourth Proportional to 1,019.87, 1,406.13 and 842.21

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Solution

The fourth proportional to 1,019.87, 1,406.13 and 842.21 is: 1,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.87 : 1,406.13 = 842.21 : x
  2. Step 2: Convert to fraction form
    1,019.87/1,406.13 = 842.21/x
  3. Step 3: Cross multiply
    1,019.87x = 1,406.13 × 842.21
  4. Step 4: Simplify right side
    1,019.87x = 1,184,256.75
  5. Step 5: Solve for x
    x = 1,184,256.75/1,019.87
  6. Step 6: Final answer
    x = 1,161.18

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Why These Related Problems?

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