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Finding the Fourth Proportional to 741.80, 1,113.24 and 255.26

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Solution

The fourth proportional to 741.80, 1,113.24 and 255.26 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,113.24 = 255.26 : x
  2. Step 2: Convert to fraction form
    741.80/1,113.24 = 255.26/x
  3. Step 3: Cross multiply
    741.80x = 1,113.24 × 255.26
  4. Step 4: Simplify right side
    741.80x = 284,165.64
  5. Step 5: Solve for x
    x = 284,165.64/741.80
  6. Step 6: Final answer
    x = 383.08

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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.