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Finding the Fourth Proportional to 1,264.69, 1,896.09 and 442.54

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Solution

The fourth proportional to 1,264.69, 1,896.09 and 442.54 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.69 : 1,896.09 = 442.54 : x
  2. Step 2: Convert to fraction form
    1,264.69/1,896.09 = 442.54/x
  3. Step 3: Cross multiply
    1,264.69x = 1,896.09 × 442.54
  4. Step 4: Simplify right side
    1,264.69x = 839,095.67
  5. Step 5: Solve for x
    x = 839,095.67/1,264.69
  6. Step 6: Final answer
    x = 663.48

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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.