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Finding the Fourth Proportional to 777.84, 1,166.28 and 367.08

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Solution

The fourth proportional to 777.84, 1,166.28 and 367.08 is: 550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,166.28 = 367.08 : x
  2. Step 2: Convert to fraction form
    777.84/1,166.28 = 367.08/x
  3. Step 3: Cross multiply
    777.84x = 1,166.28 × 367.08
  4. Step 4: Simplify right side
    777.84x = 428,118.06
  5. Step 5: Solve for x
    x = 428,118.06/777.84
  6. Step 6: Final answer
    x = 550.39

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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.