Home / 1,513.13-2,268.28-589.28

Finding the Fourth Proportional to 1,513.13, 2,268.28 and 589.28

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Solution

The fourth proportional to 1,513.13, 2,268.28 and 589.28 is: 883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.13 : 2,268.28 = 589.28 : x
  2. Step 2: Convert to fraction form
    1,513.13/2,268.28 = 589.28/x
  3. Step 3: Cross multiply
    1,513.13x = 2,268.28 × 589.28
  4. Step 4: Simplify right side
    1,513.13x = 1,336,649.09
  5. Step 5: Solve for x
    x = 1,336,649.09/1,513.13
  6. Step 6: Final answer
    x = 883.37

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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.