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Finding the Fourth Proportional to 1,193.76, 1,647.42 and 669.78

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Solution

The fourth proportional to 1,193.76, 1,647.42 and 669.78 is: 924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.76 : 1,647.42 = 669.78 : x
  2. Step 2: Convert to fraction form
    1,193.76/1,647.42 = 669.78/x
  3. Step 3: Cross multiply
    1,193.76x = 1,647.42 × 669.78
  4. Step 4: Simplify right side
    1,193.76x = 1,103,408.97
  5. Step 5: Solve for x
    x = 1,103,408.97/1,193.76
  6. Step 6: Final answer
    x = 924.31

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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.