Home / 1,057.25-1,584.46-594.84

Finding the Fourth Proportional to 1,057.25, 1,584.46 and 594.84

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Solution

The fourth proportional to 1,057.25, 1,584.46 and 594.84 is: 891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.25 : 1,584.46 = 594.84 : x
  2. Step 2: Convert to fraction form
    1,057.25/1,584.46 = 594.84/x
  3. Step 3: Cross multiply
    1,057.25x = 1,584.46 × 594.84
  4. Step 4: Simplify right side
    1,057.25x = 942,506.87
  5. Step 5: Solve for x
    x = 942,506.87/1,057.25
  6. Step 6: Final answer
    x = 891.47

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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.