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Finding the Fourth Proportional to 930.46, 1,388.16 and 896.84

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Solution

The fourth proportional to 930.46, 1,388.16 and 896.84 is: 1,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.46 : 1,388.16 = 896.84 : x
  2. Step 2: Convert to fraction form
    930.46/1,388.16 = 896.84/x
  3. Step 3: Cross multiply
    930.46x = 1,388.16 × 896.84
  4. Step 4: Simplify right side
    930.46x = 1,244,957.41
  5. Step 5: Solve for x
    x = 1,244,957.41/930.46
  6. Step 6: Final answer
    x = 1,338.00

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Why These Related Problems?

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