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Finding the Fourth Proportional to 1,093.92, 1,507.86 and 872.82

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Solution

The fourth proportional to 1,093.92, 1,507.86 and 872.82 is: 1,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.92 : 1,507.86 = 872.82 : x
  2. Step 2: Convert to fraction form
    1,093.92/1,507.86 = 872.82/x
  3. Step 3: Cross multiply
    1,093.92x = 1,507.86 × 872.82
  4. Step 4: Simplify right side
    1,093.92x = 1,316,090.37
  5. Step 5: Solve for x
    x = 1,316,090.37/1,093.92
  6. Step 6: Final answer
    x = 1,203.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.