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Finding the Fourth Proportional to 1,093.08, 1,637.84 and 832.70

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Solution

The fourth proportional to 1,093.08, 1,637.84 and 832.70 is: 1,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.08 : 1,637.84 = 832.70 : x
  2. Step 2: Convert to fraction form
    1,093.08/1,637.84 = 832.70/x
  3. Step 3: Cross multiply
    1,093.08x = 1,637.84 × 832.70
  4. Step 4: Simplify right side
    1,093.08x = 1,363,829.37
  5. Step 5: Solve for x
    x = 1,363,829.37/1,093.08
  6. Step 6: Final answer
    x = 1,247.69

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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.