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Finding the Fourth Proportional to 777.50, 1,166.82 and 392.78

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Solution

The fourth proportional to 777.50, 1,166.82 and 392.78 is: 589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,166.82 = 392.78 : x
  2. Step 2: Convert to fraction form
    777.50/1,166.82 = 392.78/x
  3. Step 3: Cross multiply
    777.50x = 1,166.82 × 392.78
  4. Step 4: Simplify right side
    777.50x = 458,303.56
  5. Step 5: Solve for x
    x = 458,303.56/777.50
  6. Step 6: Final answer
    x = 589.46

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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.