Home / 1,025.06-1,538.28-477.29

Finding the Fourth Proportional to 1,025.06, 1,538.28 and 477.29

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Solution

The fourth proportional to 1,025.06, 1,538.28 and 477.29 is: 716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.06 : 1,538.28 = 477.29 : x
  2. Step 2: Convert to fraction form
    1,025.06/1,538.28 = 477.29/x
  3. Step 3: Cross multiply
    1,025.06x = 1,538.28 × 477.29
  4. Step 4: Simplify right side
    1,025.06x = 734,197.97
  5. Step 5: Solve for x
    x = 734,197.97/1,025.06
  6. Step 6: Final answer
    x = 716.25

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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.