Home / 1,531.25-2,296.88-505.25

Finding the Fourth Proportional to 1,531.25, 2,296.88 and 505.25

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Solution

The fourth proportional to 1,531.25, 2,296.88 and 505.25 is: 757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.25 : 2,296.88 = 505.25 : x
  2. Step 2: Convert to fraction form
    1,531.25/2,296.88 = 505.25/x
  3. Step 3: Cross multiply
    1,531.25x = 2,296.88 × 505.25
  4. Step 4: Simplify right side
    1,531.25x = 1,160,496.09
  5. Step 5: Solve for x
    x = 1,160,496.09/1,531.25
  6. Step 6: Final answer
    x = 757.88

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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.