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Finding the Fourth Proportional to 1,478.79, 2,040.84 and 889.83

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Solution

The fourth proportional to 1,478.79, 2,040.84 and 889.83 is: 1,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.79 : 2,040.84 = 889.83 : x
  2. Step 2: Convert to fraction form
    1,478.79/2,040.84 = 889.83/x
  3. Step 3: Cross multiply
    1,478.79x = 2,040.84 × 889.83
  4. Step 4: Simplify right side
    1,478.79x = 1,816,000.66
  5. Step 5: Solve for x
    x = 1,816,000.66/1,478.79
  6. Step 6: Final answer
    x = 1,228.03

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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.