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Finding the Fourth Proportional to 1,122.94, 1,683.57 and 775.28

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Solution

The fourth proportional to 1,122.94, 1,683.57 and 775.28 is: 1,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.94 : 1,683.57 = 775.28 : x
  2. Step 2: Convert to fraction form
    1,122.94/1,683.57 = 775.28/x
  3. Step 3: Cross multiply
    1,122.94x = 1,683.57 × 775.28
  4. Step 4: Simplify right side
    1,122.94x = 1,305,238.15
  5. Step 5: Solve for x
    x = 1,305,238.15/1,122.94
  6. Step 6: Final answer
    x = 1,162.34

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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.