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Finding the Fourth Proportional to 1,105.91, 1,658.03 and 953.63

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Solution

The fourth proportional to 1,105.91, 1,658.03 and 953.63 is: 1,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.91 : 1,658.03 = 953.63 : x
  2. Step 2: Convert to fraction form
    1,105.91/1,658.03 = 953.63/x
  3. Step 3: Cross multiply
    1,105.91x = 1,658.03 × 953.63
  4. Step 4: Simplify right side
    1,105.91x = 1,581,134.09
  5. Step 5: Solve for x
    x = 1,581,134.09/1,105.91
  6. Step 6: Final answer
    x = 1,429.72

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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.