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Finding the Fourth Proportional to 1,383.84, 2,076.48 and 614.16

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Solution

The fourth proportional to 1,383.84, 2,076.48 and 614.16 is: 921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.84 : 2,076.48 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,383.84/2,076.48 = 614.16/x
  3. Step 3: Cross multiply
    1,383.84x = 2,076.48 × 614.16
  4. Step 4: Simplify right side
    1,383.84x = 1,275,290.96
  5. Step 5: Solve for x
    x = 1,275,290.96/1,383.84
  6. Step 6: Final answer
    x = 921.56

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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.