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Finding the Fourth Proportional to 1,265.46, 1,898.17 and 443.75

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Solution

The fourth proportional to 1,265.46, 1,898.17 and 443.75 is: 665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.46 : 1,898.17 = 443.75 : x
  2. Step 2: Convert to fraction form
    1,265.46/1,898.17 = 443.75/x
  3. Step 3: Cross multiply
    1,265.46x = 1,898.17 × 443.75
  4. Step 4: Simplify right side
    1,265.46x = 842,302.34
  5. Step 5: Solve for x
    x = 842,302.34/1,265.46
  6. Step 6: Final answer
    x = 665.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.