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Finding the Fourth Proportional to 767.51, 1,059.26 and 468.69

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Solution

The fourth proportional to 767.51, 1,059.26 and 468.69 is: 646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.51 : 1,059.26 = 468.69 : x
  2. Step 2: Convert to fraction form
    767.51/1,059.26 = 468.69/x
  3. Step 3: Cross multiply
    767.51x = 1,059.26 × 468.69
  4. Step 4: Simplify right side
    767.51x = 496,470.59
  5. Step 5: Solve for x
    x = 496,470.59/767.51
  6. Step 6: Final answer
    x = 646.86

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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.