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Finding the Fourth Proportional to 1,199.31, 1,797.78 and 506.16

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Solution

The fourth proportional to 1,199.31, 1,797.78 and 506.16 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.31 : 1,797.78 = 506.16 : x
  2. Step 2: Convert to fraction form
    1,199.31/1,797.78 = 506.16/x
  3. Step 3: Cross multiply
    1,199.31x = 1,797.78 × 506.16
  4. Step 4: Simplify right side
    1,199.31x = 909,964.32
  5. Step 5: Solve for x
    x = 909,964.32/1,199.31
  6. Step 6: Final answer
    x = 758.74

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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.