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Finding the Fourth Proportional to 1,138.57, 1,703.89 and 699.63

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Solution

The fourth proportional to 1,138.57, 1,703.89 and 699.63 is: 1,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.57 : 1,703.89 = 699.63 : x
  2. Step 2: Convert to fraction form
    1,138.57/1,703.89 = 699.63/x
  3. Step 3: Cross multiply
    1,138.57x = 1,703.89 × 699.63
  4. Step 4: Simplify right side
    1,138.57x = 1,192,092.56
  5. Step 5: Solve for x
    x = 1,192,092.56/1,138.57
  6. Step 6: Final answer
    x = 1,047.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.