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Finding the Fourth Proportional to 1,193.75, 1,790.13 and 462.91

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Solution

The fourth proportional to 1,193.75, 1,790.13 and 462.91 is: 694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.75 : 1,790.13 = 462.91 : x
  2. Step 2: Convert to fraction form
    1,193.75/1,790.13 = 462.91/x
  3. Step 3: Cross multiply
    1,193.75x = 1,790.13 × 462.91
  4. Step 4: Simplify right side
    1,193.75x = 828,669.08
  5. Step 5: Solve for x
    x = 828,669.08/1,193.75
  6. Step 6: Final answer
    x = 694.17

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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.