Home / 1,282.16-1,923.52-416.56

Finding the Fourth Proportional to 1,282.16, 1,923.52 and 416.56

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Solution

The fourth proportional to 1,282.16, 1,923.52 and 416.56 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.16 : 1,923.52 = 416.56 : x
  2. Step 2: Convert to fraction form
    1,282.16/1,923.52 = 416.56/x
  3. Step 3: Cross multiply
    1,282.16x = 1,923.52 × 416.56
  4. Step 4: Simplify right side
    1,282.16x = 801,261.49
  5. Step 5: Solve for x
    x = 801,261.49/1,282.16
  6. Step 6: Final answer
    x = 624.93

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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.