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Finding the Fourth Proportional to 1,089.16, 1,632.26 and 793.66

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Solution

The fourth proportional to 1,089.16, 1,632.26 and 793.66 is: 1,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.16 : 1,632.26 = 793.66 : x
  2. Step 2: Convert to fraction form
    1,089.16/1,632.26 = 793.66/x
  3. Step 3: Cross multiply
    1,089.16x = 1,632.26 × 793.66
  4. Step 4: Simplify right side
    1,089.16x = 1,295,459.47
  5. Step 5: Solve for x
    x = 1,295,459.47/1,089.16
  6. Step 6: Final answer
    x = 1,189.41

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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.