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Finding the Fourth Proportional to 1,193.28, 1,790.59 and 462.90

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Solution

The fourth proportional to 1,193.28, 1,790.59 and 462.90 is: 694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,790.59 = 462.90 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,790.59 = 462.90/x
  3. Step 3: Cross multiply
    1,193.28x = 1,790.59 × 462.90
  4. Step 4: Simplify right side
    1,193.28x = 828,864.11
  5. Step 5: Solve for x
    x = 828,864.11/1,193.28
  6. Step 6: Final answer
    x = 694.61

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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.