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Finding the Fourth Proportional to 1,187.66, 1,777.03 and 823.16

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Solution

The fourth proportional to 1,187.66, 1,777.03 and 823.16 is: 1,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.66 : 1,777.03 = 823.16 : x
  2. Step 2: Convert to fraction form
    1,187.66/1,777.03 = 823.16/x
  3. Step 3: Cross multiply
    1,187.66x = 1,777.03 × 823.16
  4. Step 4: Simplify right side
    1,187.66x = 1,462,780.01
  5. Step 5: Solve for x
    x = 1,462,780.01/1,187.66
  6. Step 6: Final answer
    x = 1,231.65

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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.