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Finding the Fourth Proportional to 1,264.44, 1,896.10 and 442.46

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Solution

The fourth proportional to 1,264.44, 1,896.10 and 442.46 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.44 : 1,896.10 = 442.46 : x
  2. Step 2: Convert to fraction form
    1,264.44/1,896.10 = 442.46/x
  3. Step 3: Cross multiply
    1,264.44x = 1,896.10 × 442.46
  4. Step 4: Simplify right side
    1,264.44x = 838,948.41
  5. Step 5: Solve for x
    x = 838,948.41/1,264.44
  6. Step 6: Final answer
    x = 663.49

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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.