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Finding the Fourth Proportional to 845.74, 1,269.06 and 383.48

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Solution

The fourth proportional to 845.74, 1,269.06 and 383.48 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.74 : 1,269.06 = 383.48 : x
  2. Step 2: Convert to fraction form
    845.74/1,269.06 = 383.48/x
  3. Step 3: Cross multiply
    845.74x = 1,269.06 × 383.48
  4. Step 4: Simplify right side
    845.74x = 486,652.78
  5. Step 5: Solve for x
    x = 486,652.78/845.74
  6. Step 6: Final answer
    x = 575.42

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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.