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Finding the Fourth Proportional to 845.81, 1,268.85 and 383.57

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Solution

The fourth proportional to 845.81, 1,268.85 and 383.57 is: 575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.81 : 1,268.85 = 383.57 : x
  2. Step 2: Convert to fraction form
    845.81/1,268.85 = 383.57/x
  3. Step 3: Cross multiply
    845.81x = 1,268.85 × 383.57
  4. Step 4: Simplify right side
    845.81x = 486,686.45
  5. Step 5: Solve for x
    x = 486,686.45/845.81
  6. Step 6: Final answer
    x = 575.41

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Why These Related Problems?

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