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Finding the Fourth Proportional to 1,264.26, 1,895.98 and 484.22

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Solution

The fourth proportional to 1,264.26, 1,895.98 and 484.22 is: 726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.26 : 1,895.98 = 484.22 : x
  2. Step 2: Convert to fraction form
    1,264.26/1,895.98 = 484.22/x
  3. Step 3: Cross multiply
    1,264.26x = 1,895.98 × 484.22
  4. Step 4: Simplify right side
    1,264.26x = 918,071.44
  5. Step 5: Solve for x
    x = 918,071.44/1,264.26
  6. Step 6: Final answer
    x = 726.17

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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.