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Finding the Fourth Proportional to 1,219.92, 1,683.89 and 842.01

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Solution

The fourth proportional to 1,219.92, 1,683.89 and 842.01 is: 1,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.92 : 1,683.89 = 842.01 : x
  2. Step 2: Convert to fraction form
    1,219.92/1,683.89 = 842.01/x
  3. Step 3: Cross multiply
    1,219.92x = 1,683.89 × 842.01
  4. Step 4: Simplify right side
    1,219.92x = 1,417,852.22
  5. Step 5: Solve for x
    x = 1,417,852.22/1,219.92
  6. Step 6: Final answer
    x = 1,162.25

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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.