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Finding the Fourth Proportional to 767.23, 1,059.15 and 554.74

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Solution

The fourth proportional to 767.23, 1,059.15 and 554.74 is: 765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.23 : 1,059.15 = 554.74 : x
  2. Step 2: Convert to fraction form
    767.23/1,059.15 = 554.74/x
  3. Step 3: Cross multiply
    767.23x = 1,059.15 × 554.74
  4. Step 4: Simplify right side
    767.23x = 587,552.87
  5. Step 5: Solve for x
    x = 587,552.87/767.23
  6. Step 6: Final answer
    x = 765.81

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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.