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Finding the Fourth Proportional to 1,193.83, 1,790.75 and 328.14

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Solution

The fourth proportional to 1,193.83, 1,790.75 and 328.14 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.83 : 1,790.75 = 328.14 : x
  2. Step 2: Convert to fraction form
    1,193.83/1,790.75 = 328.14/x
  3. Step 3: Cross multiply
    1,193.83x = 1,790.75 × 328.14
  4. Step 4: Simplify right side
    1,193.83x = 587,616.71
  5. Step 5: Solve for x
    x = 587,616.71/1,193.83
  6. Step 6: Final answer
    x = 492.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.