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Finding the Fourth Proportional to 559.77, 770.94 and 553.86

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Solution

The fourth proportional to 559.77, 770.94 and 553.86 is: 762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.77 : 770.94 = 553.86 : x
  2. Step 2: Convert to fraction form
    559.77/770.94 = 553.86/x
  3. Step 3: Cross multiply
    559.77x = 770.94 × 553.86
  4. Step 4: Simplify right side
    559.77x = 426,992.83
  5. Step 5: Solve for x
    x = 426,992.83/559.77
  6. Step 6: Final answer
    x = 762.80

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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.