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Finding the Fourth Proportional to 921.70, 1,264.79 and 838.16

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Solution

The fourth proportional to 921.70, 1,264.79 and 838.16 is: 1,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.70 : 1,264.79 = 838.16 : x
  2. Step 2: Convert to fraction form
    921.70/1,264.79 = 838.16/x
  3. Step 3: Cross multiply
    921.70x = 1,264.79 × 838.16
  4. Step 4: Simplify right side
    921.70x = 1,060,098.12
  5. Step 5: Solve for x
    x = 1,060,098.12/921.70
  6. Step 6: Final answer
    x = 1,150.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.