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Finding the Fourth Proportional to 1,183.79, 1,772.01 and 772.04

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Solution

The fourth proportional to 1,183.79, 1,772.01 and 772.04 is: 1,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.79 : 1,772.01 = 772.04 : x
  2. Step 2: Convert to fraction form
    1,183.79/1,772.01 = 772.04/x
  3. Step 3: Cross multiply
    1,183.79x = 1,772.01 × 772.04
  4. Step 4: Simplify right side
    1,183.79x = 1,368,053.74
  5. Step 5: Solve for x
    x = 1,368,053.74/1,183.79
  6. Step 6: Final answer
    x = 1,155.66

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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.