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Finding the Fourth Proportional to 820.58, 1,230.91 and 786.66

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Solution

The fourth proportional to 820.58, 1,230.91 and 786.66 is: 1,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.58 : 1,230.91 = 786.66 : x
  2. Step 2: Convert to fraction form
    820.58/1,230.91 = 786.66/x
  3. Step 3: Cross multiply
    820.58x = 1,230.91 × 786.66
  4. Step 4: Simplify right side
    820.58x = 968,307.66
  5. Step 5: Solve for x
    x = 968,307.66/820.58
  6. Step 6: Final answer
    x = 1,180.03

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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.