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Finding the Fourth Proportional to 1,089.90, 1,633.64 and 873.05

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Solution

The fourth proportional to 1,089.90, 1,633.64 and 873.05 is: 1,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.90 : 1,633.64 = 873.05 : x
  2. Step 2: Convert to fraction form
    1,089.90/1,633.64 = 873.05/x
  3. Step 3: Cross multiply
    1,089.90x = 1,633.64 × 873.05
  4. Step 4: Simplify right side
    1,089.90x = 1,426,236.87
  5. Step 5: Solve for x
    x = 1,426,236.87/1,089.90
  6. Step 6: Final answer
    x = 1,308.59

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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.