Home / 1,364.10-2,043.45-814.65

Finding the Fourth Proportional to 1,364.10, 2,043.45 and 814.65

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Solution

The fourth proportional to 1,364.10, 2,043.45 and 814.65 is: 1,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.10 : 2,043.45 = 814.65 : x
  2. Step 2: Convert to fraction form
    1,364.10/2,043.45 = 814.65/x
  3. Step 3: Cross multiply
    1,364.10x = 2,043.45 × 814.65
  4. Step 4: Simplify right side
    1,364.10x = 1,664,696.54
  5. Step 5: Solve for x
    x = 1,664,696.54/1,364.10
  6. Step 6: Final answer
    x = 1,220.36

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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.