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Finding the Fourth Proportional to 1,089.26, 1,633.20 and 830.93

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Solution

The fourth proportional to 1,089.26, 1,633.20 and 830.93 is: 1,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.26 : 1,633.20 = 830.93 : x
  2. Step 2: Convert to fraction form
    1,089.26/1,633.20 = 830.93/x
  3. Step 3: Cross multiply
    1,089.26x = 1,633.20 × 830.93
  4. Step 4: Simplify right side
    1,089.26x = 1,357,074.88
  5. Step 5: Solve for x
    x = 1,357,074.88/1,089.26
  6. Step 6: Final answer
    x = 1,245.87

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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.