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Finding the Fourth Proportional to 1,193.64, 1,790.30 and 328.02

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Solution

The fourth proportional to 1,193.64, 1,790.30 and 328.02 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.64 : 1,790.30 = 328.02 : x
  2. Step 2: Convert to fraction form
    1,193.64/1,790.30 = 328.02/x
  3. Step 3: Cross multiply
    1,193.64x = 1,790.30 × 328.02
  4. Step 4: Simplify right side
    1,193.64x = 587,254.21
  5. Step 5: Solve for x
    x = 587,254.21/1,193.64
  6. Step 6: Final answer
    x = 491.99

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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.