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Finding the Fourth Proportional to 1,185.14, 1,777.71 and 405.15

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Solution

The fourth proportional to 1,185.14, 1,777.71 and 405.15 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.14 : 1,777.71 = 405.15 : x
  2. Step 2: Convert to fraction form
    1,185.14/1,777.71 = 405.15/x
  3. Step 3: Cross multiply
    1,185.14x = 1,777.71 × 405.15
  4. Step 4: Simplify right side
    1,185.14x = 720,236.73
  5. Step 5: Solve for x
    x = 720,236.73/1,185.14
  6. Step 6: Final answer
    x = 607.72

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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.