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Finding the Fourth Proportional to 1,186.53, 1,777.37 and 822.03

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Solution

The fourth proportional to 1,186.53, 1,777.37 and 822.03 is: 1,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.53 : 1,777.37 = 822.03 : x
  2. Step 2: Convert to fraction form
    1,186.53/1,777.37 = 822.03/x
  3. Step 3: Cross multiply
    1,186.53x = 1,777.37 × 822.03
  4. Step 4: Simplify right side
    1,186.53x = 1,461,047.35
  5. Step 5: Solve for x
    x = 1,461,047.35/1,186.53
  6. Step 6: Final answer
    x = 1,231.36

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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.