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Finding the Fourth Proportional to 800.56, 1,200.35 and 671.36

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Solution

The fourth proportional to 800.56, 1,200.35 and 671.36 is: 1,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.56 : 1,200.35 = 671.36 : x
  2. Step 2: Convert to fraction form
    800.56/1,200.35 = 671.36/x
  3. Step 3: Cross multiply
    800.56x = 1,200.35 × 671.36
  4. Step 4: Simplify right side
    800.56x = 805,871.66
  5. Step 5: Solve for x
    x = 805,871.66/800.56
  6. Step 6: Final answer
    x = 1,006.64

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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.