Home / 1,282.69-1,922.85-624.19

Finding the Fourth Proportional to 1,282.69, 1,922.85 and 624.19

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Solution

The fourth proportional to 1,282.69, 1,922.85 and 624.19 is: 935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.69 : 1,922.85 = 624.19 : x
  2. Step 2: Convert to fraction form
    1,282.69/1,922.85 = 624.19/x
  3. Step 3: Cross multiply
    1,282.69x = 1,922.85 × 624.19
  4. Step 4: Simplify right side
    1,282.69x = 1,200,223.74
  5. Step 5: Solve for x
    x = 1,200,223.74/1,282.69
  6. Step 6: Final answer
    x = 935.71

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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.