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Finding the Fourth Proportional to 767.74, 1,059.01 and 468.85

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Solution

The fourth proportional to 767.74, 1,059.01 and 468.85 is: 646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.74 : 1,059.01 = 468.85 : x
  2. Step 2: Convert to fraction form
    767.74/1,059.01 = 468.85/x
  3. Step 3: Cross multiply
    767.74x = 1,059.01 × 468.85
  4. Step 4: Simplify right side
    767.74x = 496,516.84
  5. Step 5: Solve for x
    x = 496,516.84/767.74
  6. Step 6: Final answer
    x = 646.73

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