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Finding the Fourth Proportional to 1,089.10, 1,632.62 and 776.44

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Solution

The fourth proportional to 1,089.10, 1,632.62 and 776.44 is: 1,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.10 : 1,632.62 = 776.44 : x
  2. Step 2: Convert to fraction form
    1,089.10/1,632.62 = 776.44/x
  3. Step 3: Cross multiply
    1,089.10x = 1,632.62 × 776.44
  4. Step 4: Simplify right side
    1,089.10x = 1,267,631.47
  5. Step 5: Solve for x
    x = 1,267,631.47/1,089.10
  6. Step 6: Final answer
    x = 1,163.93

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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.