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Finding the Fourth Proportional to 1,025.15, 1,414.65 and 583.04

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Solution

The fourth proportional to 1,025.15, 1,414.65 and 583.04 is: 804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.15 : 1,414.65 = 583.04 : x
  2. Step 2: Convert to fraction form
    1,025.15/1,414.65 = 583.04/x
  3. Step 3: Cross multiply
    1,025.15x = 1,414.65 × 583.04
  4. Step 4: Simplify right side
    1,025.15x = 824,797.54
  5. Step 5: Solve for x
    x = 824,797.54/1,025.15
  6. Step 6: Final answer
    x = 804.56

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