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Finding the Fourth Proportional to 786.54, 1,180.62 and 643.98

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Solution

The fourth proportional to 786.54, 1,180.62 and 643.98 is: 966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.54 : 1,180.62 = 643.98 : x
  2. Step 2: Convert to fraction form
    786.54/1,180.62 = 643.98/x
  3. Step 3: Cross multiply
    786.54x = 1,180.62 × 643.98
  4. Step 4: Simplify right side
    786.54x = 760,295.67
  5. Step 5: Solve for x
    x = 760,295.67/786.54
  6. Step 6: Final answer
    x = 966.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.