Home / 1,056.14-1,584.27-406.87

Finding the Fourth Proportional to 1,056.14, 1,584.27 and 406.87

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Solution

The fourth proportional to 1,056.14, 1,584.27 and 406.87 is: 610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.14 : 1,584.27 = 406.87 : x
  2. Step 2: Convert to fraction form
    1,056.14/1,584.27 = 406.87/x
  3. Step 3: Cross multiply
    1,056.14x = 1,584.27 × 406.87
  4. Step 4: Simplify right side
    1,056.14x = 644,587.97
  5. Step 5: Solve for x
    x = 644,587.97/1,056.14
  6. Step 6: Final answer
    x = 610.33

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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.