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Finding the Fourth Proportional to 1,193.05, 1,780.93 and 1,047.25

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Solution

The fourth proportional to 1,193.05, 1,780.93 and 1,047.25 is: 1,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.05 : 1,780.93 = 1,047.25 : x
  2. Step 2: Convert to fraction form
    1,193.05/1,780.93 = 1,047.25/x
  3. Step 3: Cross multiply
    1,193.05x = 1,780.93 × 1,047.25
  4. Step 4: Simplify right side
    1,193.05x = 1,865,078.94
  5. Step 5: Solve for x
    x = 1,865,078.94/1,193.05
  6. Step 6: Final answer
    x = 1,563.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.