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Finding the Fourth Proportional to 1,192.37, 1,788.84 and 370.71

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Solution

The fourth proportional to 1,192.37, 1,788.84 and 370.71 is: 556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.37 : 1,788.84 = 370.71 : x
  2. Step 2: Convert to fraction form
    1,192.37/1,788.84 = 370.71/x
  3. Step 3: Cross multiply
    1,192.37x = 1,788.84 × 370.71
  4. Step 4: Simplify right side
    1,192.37x = 663,140.88
  5. Step 5: Solve for x
    x = 663,140.88/1,192.37
  6. Step 6: Final answer
    x = 556.16

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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.