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Finding the Fourth Proportional to 1,362.59, 2,041.23 and 775.82

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Solution

The fourth proportional to 1,362.59, 2,041.23 and 775.82 is: 1,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.59 : 2,041.23 = 775.82 : x
  2. Step 2: Convert to fraction form
    1,362.59/2,041.23 = 775.82/x
  3. Step 3: Cross multiply
    1,362.59x = 2,041.23 × 775.82
  4. Step 4: Simplify right side
    1,362.59x = 1,583,616.85
  5. Step 5: Solve for x
    x = 1,583,616.85/1,362.59
  6. Step 6: Final answer
    x = 1,162.22

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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.