Home / 1,025.12-1,414.67-583.03

Finding the Fourth Proportional to 1,025.12, 1,414.67 and 583.03

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Solution

The fourth proportional to 1,025.12, 1,414.67 and 583.03 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.12 : 1,414.67 = 583.03 : x
  2. Step 2: Convert to fraction form
    1,025.12/1,414.67 = 583.03/x
  3. Step 3: Cross multiply
    1,025.12x = 1,414.67 × 583.03
  4. Step 4: Simplify right side
    1,025.12x = 824,792.97
  5. Step 5: Solve for x
    x = 824,792.97/1,025.12
  6. Step 6: Final answer
    x = 804.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.