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Finding the Fourth Proportional to 1,264.91, 1,898.25 and 443.19

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Solution

The fourth proportional to 1,264.91, 1,898.25 and 443.19 is: 665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.91 : 1,898.25 = 443.19 : x
  2. Step 2: Convert to fraction form
    1,264.91/1,898.25 = 443.19/x
  3. Step 3: Cross multiply
    1,264.91x = 1,898.25 × 443.19
  4. Step 4: Simplify right side
    1,264.91x = 841,283.20
  5. Step 5: Solve for x
    x = 841,283.20/1,264.91
  6. Step 6: Final answer
    x = 665.09

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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.