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Finding the Fourth Proportional to 741.73, 1,110.26 and 509.26

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Solution

The fourth proportional to 741.73, 1,110.26 and 509.26 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.73 : 1,110.26 = 509.26 : x
  2. Step 2: Convert to fraction form
    741.73/1,110.26 = 509.26/x
  3. Step 3: Cross multiply
    741.73x = 1,110.26 × 509.26
  4. Step 4: Simplify right side
    741.73x = 565,409.51
  5. Step 5: Solve for x
    x = 565,409.51/741.73
  6. Step 6: Final answer
    x = 762.29

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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.