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Finding the Fourth Proportional to 1,193.63, 1,647.81 and 751.97

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Solution

The fourth proportional to 1,193.63, 1,647.81 and 751.97 is: 1,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.63 : 1,647.81 = 751.97 : x
  2. Step 2: Convert to fraction form
    1,193.63/1,647.81 = 751.97/x
  3. Step 3: Cross multiply
    1,193.63x = 1,647.81 × 751.97
  4. Step 4: Simplify right side
    1,193.63x = 1,239,107.81
  5. Step 5: Solve for x
    x = 1,239,107.81/1,193.63
  6. Step 6: Final answer
    x = 1,038.10

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