Home / 1,021.17-1,529.61-847.43

Finding the Fourth Proportional to 1,021.17, 1,529.61 and 847.43

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Solution

The fourth proportional to 1,021.17, 1,529.61 and 847.43 is: 1,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.17 : 1,529.61 = 847.43 : x
  2. Step 2: Convert to fraction form
    1,021.17/1,529.61 = 847.43/x
  3. Step 3: Cross multiply
    1,021.17x = 1,529.61 × 847.43
  4. Step 4: Simplify right side
    1,021.17x = 1,296,229.75
  5. Step 5: Solve for x
    x = 1,296,229.75/1,021.17
  6. Step 6: Final answer
    x = 1,269.36

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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.