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Finding the Fourth Proportional to 921.40, 1,382.84 and 889.48

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Solution

The fourth proportional to 921.40, 1,382.84 and 889.48 is: 1,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.40 : 1,382.84 = 889.48 : x
  2. Step 2: Convert to fraction form
    921.40/1,382.84 = 889.48/x
  3. Step 3: Cross multiply
    921.40x = 1,382.84 × 889.48
  4. Step 4: Simplify right side
    921.40x = 1,230,008.52
  5. Step 5: Solve for x
    x = 1,230,008.52/921.40
  6. Step 6: Final answer
    x = 1,334.93

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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.