Home / 1,282.06-1,923.33-416.14

Finding the Fourth Proportional to 1,282.06, 1,923.33 and 416.14

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Solution

The fourth proportional to 1,282.06, 1,923.33 and 416.14 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.06 : 1,923.33 = 416.14 : x
  2. Step 2: Convert to fraction form
    1,282.06/1,923.33 = 416.14/x
  3. Step 3: Cross multiply
    1,282.06x = 1,923.33 × 416.14
  4. Step 4: Simplify right side
    1,282.06x = 800,374.55
  5. Step 5: Solve for x
    x = 800,374.55/1,282.06
  6. Step 6: Final answer
    x = 624.29

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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.