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Finding the Fourth Proportional to 1,193.10, 1,646.39 and 669.03

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Solution

The fourth proportional to 1,193.10, 1,646.39 and 669.03 is: 923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.10 : 1,646.39 = 669.03 : x
  2. Step 2: Convert to fraction form
    1,193.10/1,646.39 = 669.03/x
  3. Step 3: Cross multiply
    1,193.10x = 1,646.39 × 669.03
  4. Step 4: Simplify right side
    1,193.10x = 1,101,480.96
  5. Step 5: Solve for x
    x = 1,101,480.96/1,193.10
  6. Step 6: Final answer
    x = 923.21

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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.