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Finding the Fourth Proportional to 1,135.96, 1,705.38 and 725.56

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Solution

The fourth proportional to 1,135.96, 1,705.38 and 725.56 is: 1,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.96 : 1,705.38 = 725.56 : x
  2. Step 2: Convert to fraction form
    1,135.96/1,705.38 = 725.56/x
  3. Step 3: Cross multiply
    1,135.96x = 1,705.38 × 725.56
  4. Step 4: Simplify right side
    1,135.96x = 1,237,355.51
  5. Step 5: Solve for x
    x = 1,237,355.51/1,135.96
  6. Step 6: Final answer
    x = 1,089.26

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Why These Related Problems?

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