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Finding the Fourth Proportional to 777.50, 1,072.95 and 467.06

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Solution

The fourth proportional to 777.50, 1,072.95 and 467.06 is: 644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,072.95 = 467.06 : x
  2. Step 2: Convert to fraction form
    777.50/1,072.95 = 467.06/x
  3. Step 3: Cross multiply
    777.50x = 1,072.95 × 467.06
  4. Step 4: Simplify right side
    777.50x = 501,132.03
  5. Step 5: Solve for x
    x = 501,132.03/777.50
  6. Step 6: Final answer
    x = 644.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.