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Finding the Fourth Proportional to 1,231.86, 1,699.94 and 734.32

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Solution

The fourth proportional to 1,231.86, 1,699.94 and 734.32 is: 1,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.86 : 1,699.94 = 734.32 : x
  2. Step 2: Convert to fraction form
    1,231.86/1,699.94 = 734.32/x
  3. Step 3: Cross multiply
    1,231.86x = 1,699.94 × 734.32
  4. Step 4: Simplify right side
    1,231.86x = 1,248,290.21
  5. Step 5: Solve for x
    x = 1,248,290.21/1,231.86
  6. Step 6: Final answer
    x = 1,013.34

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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.