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Finding the Fourth Proportional to 1,192.57, 1,788.63 and 370.81

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Solution

The fourth proportional to 1,192.57, 1,788.63 and 370.81 is: 556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.57 : 1,788.63 = 370.81 : x
  2. Step 2: Convert to fraction form
    1,192.57/1,788.63 = 370.81/x
  3. Step 3: Cross multiply
    1,192.57x = 1,788.63 × 370.81
  4. Step 4: Simplify right side
    1,192.57x = 663,241.89
  5. Step 5: Solve for x
    x = 663,241.89/1,192.57
  6. Step 6: Final answer
    x = 556.15

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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.