Home / 1,025.23-1,414.75-583.12

Finding the Fourth Proportional to 1,025.23, 1,414.75 and 583.12

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Solution

The fourth proportional to 1,025.23, 1,414.75 and 583.12 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.23 : 1,414.75 = 583.12 : x
  2. Step 2: Convert to fraction form
    1,025.23/1,414.75 = 583.12/x
  3. Step 3: Cross multiply
    1,025.23x = 1,414.75 × 583.12
  4. Step 4: Simplify right side
    1,025.23x = 824,976.86
  5. Step 5: Solve for x
    x = 824,976.86/1,025.23
  6. Step 6: Final answer
    x = 804.67

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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.