Home / 1,463.18-2,194.46-683.14

Finding the Fourth Proportional to 1,463.18, 2,194.46 and 683.14

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Solution

The fourth proportional to 1,463.18, 2,194.46 and 683.14 is: 1,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.18 : 2,194.46 = 683.14 : x
  2. Step 2: Convert to fraction form
    1,463.18/2,194.46 = 683.14/x
  3. Step 3: Cross multiply
    1,463.18x = 2,194.46 × 683.14
  4. Step 4: Simplify right side
    1,463.18x = 1,499,123.40
  5. Step 5: Solve for x
    x = 1,499,123.40/1,463.18
  6. Step 6: Final answer
    x = 1,024.57

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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.