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Finding the Fourth Proportional to 1,237.05, 1,705.34 and 941.81

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Solution

The fourth proportional to 1,237.05, 1,705.34 and 941.81 is: 1,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.05 : 1,705.34 = 941.81 : x
  2. Step 2: Convert to fraction form
    1,237.05/1,705.34 = 941.81/x
  3. Step 3: Cross multiply
    1,237.05x = 1,705.34 × 941.81
  4. Step 4: Simplify right side
    1,237.05x = 1,606,093.03
  5. Step 5: Solve for x
    x = 1,606,093.03/1,237.05
  6. Step 6: Final answer
    x = 1,298.33

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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.