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Finding the Fourth Proportional to 1,115.30, 1,670.21 and 767.66

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Solution

The fourth proportional to 1,115.30, 1,670.21 and 767.66 is: 1,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.30 : 1,670.21 = 767.66 : x
  2. Step 2: Convert to fraction form
    1,115.30/1,670.21 = 767.66/x
  3. Step 3: Cross multiply
    1,115.30x = 1,670.21 × 767.66
  4. Step 4: Simplify right side
    1,115.30x = 1,282,153.41
  5. Step 5: Solve for x
    x = 1,282,153.41/1,115.30
  6. Step 6: Final answer
    x = 1,149.60

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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.