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Finding the Fourth Proportional to 767.46, 1,059.53 and 505.94

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Solution

The fourth proportional to 767.46, 1,059.53 and 505.94 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.46 : 1,059.53 = 505.94 : x
  2. Step 2: Convert to fraction form
    767.46/1,059.53 = 505.94/x
  3. Step 3: Cross multiply
    767.46x = 1,059.53 × 505.94
  4. Step 4: Simplify right side
    767.46x = 536,054.58
  5. Step 5: Solve for x
    x = 536,054.58/767.46
  6. Step 6: Final answer
    x = 698.48

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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.