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Finding the Fourth Proportional to 1,025.46, 1,536.67 and 537.33

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Solution

The fourth proportional to 1,025.46, 1,536.67 and 537.33 is: 805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.46 : 1,536.67 = 537.33 : x
  2. Step 2: Convert to fraction form
    1,025.46/1,536.67 = 537.33/x
  3. Step 3: Cross multiply
    1,025.46x = 1,536.67 × 537.33
  4. Step 4: Simplify right side
    1,025.46x = 825,705.33
  5. Step 5: Solve for x
    x = 825,705.33/1,025.46
  6. Step 6: Final answer
    x = 805.20

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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.