Home / 1,056.24-1,584.52-362.80

Finding the Fourth Proportional to 1,056.24, 1,584.52 and 362.80

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Solution

The fourth proportional to 1,056.24, 1,584.52 and 362.80 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.24 : 1,584.52 = 362.80 : x
  2. Step 2: Convert to fraction form
    1,056.24/1,584.52 = 362.80/x
  3. Step 3: Cross multiply
    1,056.24x = 1,584.52 × 362.80
  4. Step 4: Simplify right side
    1,056.24x = 574,863.86
  5. Step 5: Solve for x
    x = 574,863.86/1,056.24
  6. Step 6: Final answer
    x = 544.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.