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Finding the Fourth Proportional to 1,044.44, 1,441.20 and 578.64

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Solution

The fourth proportional to 1,044.44, 1,441.20 and 578.64 is: 798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.44 : 1,441.20 = 578.64 : x
  2. Step 2: Convert to fraction form
    1,044.44/1,441.20 = 578.64/x
  3. Step 3: Cross multiply
    1,044.44x = 1,441.20 × 578.64
  4. Step 4: Simplify right side
    1,044.44x = 833,935.97
  5. Step 5: Solve for x
    x = 833,935.97/1,044.44
  6. Step 6: Final answer
    x = 798.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.