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Finding the Fourth Proportional to 1,193.29, 1,790.10 and 462.94

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Solution

The fourth proportional to 1,193.29, 1,790.10 and 462.94 is: 694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.29 : 1,790.10 = 462.94 : x
  2. Step 2: Convert to fraction form
    1,193.29/1,790.10 = 462.94/x
  3. Step 3: Cross multiply
    1,193.29x = 1,790.10 × 462.94
  4. Step 4: Simplify right side
    1,193.29x = 828,704.42
  5. Step 5: Solve for x
    x = 828,704.42/1,193.29
  6. Step 6: Final answer
    x = 694.47

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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.