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Finding the Fourth Proportional to 921.24, 1,375.25 and 782.82

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Solution

The fourth proportional to 921.24, 1,375.25 and 782.82 is: 1,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,375.25 = 782.82 : x
  2. Step 2: Convert to fraction form
    921.24/1,375.25 = 782.82/x
  3. Step 3: Cross multiply
    921.24x = 1,375.25 × 782.82
  4. Step 4: Simplify right side
    921.24x = 1,076,569.29
  5. Step 5: Solve for x
    x = 1,076,569.29/921.24
  6. Step 6: Final answer
    x = 1,168.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.