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Finding the Fourth Proportional to 767.46, 1,059.21 and 506.01

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Solution

The fourth proportional to 767.46, 1,059.21 and 506.01 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.46 : 1,059.21 = 506.01 : x
  2. Step 2: Convert to fraction form
    767.46/1,059.21 = 506.01/x
  3. Step 3: Cross multiply
    767.46x = 1,059.21 × 506.01
  4. Step 4: Simplify right side
    767.46x = 535,970.85
  5. Step 5: Solve for x
    x = 535,970.85/767.46
  6. Step 6: Final answer
    x = 698.37

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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.