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Finding the Fourth Proportional to 845.15, 1,267.74 and 289.89

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Solution

The fourth proportional to 845.15, 1,267.74 and 289.89 is: 434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.15 : 1,267.74 = 289.89 : x
  2. Step 2: Convert to fraction form
    845.15/1,267.74 = 289.89/x
  3. Step 3: Cross multiply
    845.15x = 1,267.74 × 289.89
  4. Step 4: Simplify right side
    845.15x = 367,505.15
  5. Step 5: Solve for x
    x = 367,505.15/845.15
  6. Step 6: Final answer
    x = 434.84

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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.