Home / 1,025.25-1,414.85-583.07

Finding the Fourth Proportional to 1,025.25, 1,414.85 and 583.07

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Solution

The fourth proportional to 1,025.25, 1,414.85 and 583.07 is: 804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.25 : 1,414.85 = 583.07 : x
  2. Step 2: Convert to fraction form
    1,025.25/1,414.85 = 583.07/x
  3. Step 3: Cross multiply
    1,025.25x = 1,414.85 × 583.07
  4. Step 4: Simplify right side
    1,025.25x = 824,946.60
  5. Step 5: Solve for x
    x = 824,946.60/1,025.25
  6. Step 6: Final answer
    x = 804.63

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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.