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Finding the Fourth Proportional to 1,183.84, 1,633.70 and 712

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Solution

The fourth proportional to 1,183.84, 1,633.70 and 712 is: 982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.84 : 1,633.70 = 712 : x
  2. Step 2: Convert to fraction form
    1,183.84/1,633.70 = 712/x
  3. Step 3: Cross multiply
    1,183.84x = 1,633.70 × 712
  4. Step 4: Simplify right side
    1,183.84x = 1,163,194.40
  5. Step 5: Solve for x
    x = 1,163,194.40/1,183.84
  6. Step 6: Final answer
    x = 982.56

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Why These Related Problems?

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