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Finding the Fourth Proportional to 845.57, 1,268.35 and 383.27

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Solution

The fourth proportional to 845.57, 1,268.35 and 383.27 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.57 : 1,268.35 = 383.27 : x
  2. Step 2: Convert to fraction form
    845.57/1,268.35 = 383.27/x
  3. Step 3: Cross multiply
    845.57x = 1,268.35 × 383.27
  4. Step 4: Simplify right side
    845.57x = 486,113.20
  5. Step 5: Solve for x
    x = 486,113.20/845.57
  6. Step 6: Final answer
    x = 574.89

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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.