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Finding the Fourth Proportional to 777.50, 1,166.25 and 290.78

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Solution

The fourth proportional to 777.50, 1,166.25 and 290.78 is: 436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,166.25 = 290.78 : x
  2. Step 2: Convert to fraction form
    777.50/1,166.25 = 290.78/x
  3. Step 3: Cross multiply
    777.50x = 1,166.25 × 290.78
  4. Step 4: Simplify right side
    777.50x = 339,122.18
  5. Step 5: Solve for x
    x = 339,122.18/777.50
  6. Step 6: Final answer
    x = 436.17

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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.