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Finding the Fourth Proportional to 1,193.37, 1,646.78 and 662.24

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Solution

The fourth proportional to 1,193.37, 1,646.78 and 662.24 is: 913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.37 : 1,646.78 = 662.24 : x
  2. Step 2: Convert to fraction form
    1,193.37/1,646.78 = 662.24/x
  3. Step 3: Cross multiply
    1,193.37x = 1,646.78 × 662.24
  4. Step 4: Simplify right side
    1,193.37x = 1,090,563.59
  5. Step 5: Solve for x
    x = 1,090,563.59/1,193.37
  6. Step 6: Final answer
    x = 913.85

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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.