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Finding the Fourth Proportional to 1,231.51, 1,699.34 and 734.05

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Solution

The fourth proportional to 1,231.51, 1,699.34 and 734.05 is: 1,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.51 : 1,699.34 = 734.05 : x
  2. Step 2: Convert to fraction form
    1,231.51/1,699.34 = 734.05/x
  3. Step 3: Cross multiply
    1,231.51x = 1,699.34 × 734.05
  4. Step 4: Simplify right side
    1,231.51x = 1,247,398.11
  5. Step 5: Solve for x
    x = 1,247,398.11/1,231.51
  6. Step 6: Final answer
    x = 1,012.90

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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.