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Finding the Fourth Proportional to 1,366.37, 2,049.77 and 442.16

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Solution

The fourth proportional to 1,366.37, 2,049.77 and 442.16 is: 663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.37 : 2,049.77 = 442.16 : x
  2. Step 2: Convert to fraction form
    1,366.37/2,049.77 = 442.16/x
  3. Step 3: Cross multiply
    1,366.37x = 2,049.77 × 442.16
  4. Step 4: Simplify right side
    1,366.37x = 906,316.05
  5. Step 5: Solve for x
    x = 906,316.05/1,366.37
  6. Step 6: Final answer
    x = 663.30

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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.