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Finding the Fourth Proportional to 1,043.56, 1,439.58 and 650.44

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Solution

The fourth proportional to 1,043.56, 1,439.58 and 650.44 is: 897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.56 : 1,439.58 = 650.44 : x
  2. Step 2: Convert to fraction form
    1,043.56/1,439.58 = 650.44/x
  3. Step 3: Cross multiply
    1,043.56x = 1,439.58 × 650.44
  4. Step 4: Simplify right side
    1,043.56x = 936,360.42
  5. Step 5: Solve for x
    x = 936,360.42/1,043.56
  6. Step 6: Final answer
    x = 897.28

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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.