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Finding the Fourth Proportional to 777.56, 1,167.42 and 412.52

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Solution

The fourth proportional to 777.56, 1,167.42 and 412.52 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.56 : 1,167.42 = 412.52 : x
  2. Step 2: Convert to fraction form
    777.56/1,167.42 = 412.52/x
  3. Step 3: Cross multiply
    777.56x = 1,167.42 × 412.52
  4. Step 4: Simplify right side
    777.56x = 481,584.10
  5. Step 5: Solve for x
    x = 481,584.10/777.56
  6. Step 6: Final answer
    x = 619.35

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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.