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Finding the Fourth Proportional to 1,098.81, 1,645.65 and 775.62

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Solution

The fourth proportional to 1,098.81, 1,645.65 and 775.62 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.81 : 1,645.65 = 775.62 : x
  2. Step 2: Convert to fraction form
    1,098.81/1,645.65 = 775.62/x
  3. Step 3: Cross multiply
    1,098.81x = 1,645.65 × 775.62
  4. Step 4: Simplify right side
    1,098.81x = 1,276,399.05
  5. Step 5: Solve for x
    x = 1,276,399.05/1,098.81
  6. Step 6: Final answer
    x = 1,161.62

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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.