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Finding the Fourth Proportional to 1,176.13, 1,622.34 and 777.79

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Solution

The fourth proportional to 1,176.13, 1,622.34 and 777.79 is: 1,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.13 : 1,622.34 = 777.79 : x
  2. Step 2: Convert to fraction form
    1,176.13/1,622.34 = 777.79/x
  3. Step 3: Cross multiply
    1,176.13x = 1,622.34 × 777.79
  4. Step 4: Simplify right side
    1,176.13x = 1,261,839.83
  5. Step 5: Solve for x
    x = 1,261,839.83/1,176.13
  6. Step 6: Final answer
    x = 1,072.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.