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Finding the Fourth Proportional to 1,199.74, 1,797.21 and 549.58

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Solution

The fourth proportional to 1,199.74, 1,797.21 and 549.58 is: 823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.74 : 1,797.21 = 549.58 : x
  2. Step 2: Convert to fraction form
    1,199.74/1,797.21 = 549.58/x
  3. Step 3: Cross multiply
    1,199.74x = 1,797.21 × 549.58
  4. Step 4: Simplify right side
    1,199.74x = 987,710.67
  5. Step 5: Solve for x
    x = 987,710.67/1,199.74
  6. Step 6: Final answer
    x = 823.27

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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.