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Finding the Fourth Proportional to 1,264.28, 1,895.20 and 442.33

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Solution

The fourth proportional to 1,264.28, 1,895.20 and 442.33 is: 663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.28 : 1,895.20 = 442.33 : x
  2. Step 2: Convert to fraction form
    1,264.28/1,895.20 = 442.33/x
  3. Step 3: Cross multiply
    1,264.28x = 1,895.20 × 442.33
  4. Step 4: Simplify right side
    1,264.28x = 838,297.97
  5. Step 5: Solve for x
    x = 838,297.97/1,264.28
  6. Step 6: Final answer
    x = 663.07

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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.