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Finding the Fourth Proportional to 1,089.86, 1,633.57 and 505.14

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Solution

The fourth proportional to 1,089.86, 1,633.57 and 505.14 is: 757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,633.57 = 505.14 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,633.57 = 505.14/x
  3. Step 3: Cross multiply
    1,089.86x = 1,633.57 × 505.14
  4. Step 4: Simplify right side
    1,089.86x = 825,174.16
  5. Step 5: Solve for x
    x = 825,174.16/1,089.86
  6. Step 6: Final answer
    x = 757.14

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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.