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Finding the Fourth Proportional to 767.62, 1,059.74 and 506.06

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Solution

The fourth proportional to 767.62, 1,059.74 and 506.06 is: 698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.62 : 1,059.74 = 506.06 : x
  2. Step 2: Convert to fraction form
    767.62/1,059.74 = 506.06/x
  3. Step 3: Cross multiply
    767.62x = 1,059.74 × 506.06
  4. Step 4: Simplify right side
    767.62x = 536,292.02
  5. Step 5: Solve for x
    x = 536,292.02/767.62
  6. Step 6: Final answer
    x = 698.64

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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.