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Finding the Fourth Proportional to 1,025.28, 1,535.14 and 804.74

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Solution

The fourth proportional to 1,025.28, 1,535.14 and 804.74 is: 1,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.28 : 1,535.14 = 804.74 : x
  2. Step 2: Convert to fraction form
    1,025.28/1,535.14 = 804.74/x
  3. Step 3: Cross multiply
    1,025.28x = 1,535.14 × 804.74
  4. Step 4: Simplify right side
    1,025.28x = 1,235,388.56
  5. Step 5: Solve for x
    x = 1,235,388.56/1,025.28
  6. Step 6: Final answer
    x = 1,204.93

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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.