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Finding the Fourth Proportional to 746.18, 1,119.25 and 313.03

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Solution

The fourth proportional to 746.18, 1,119.25 and 313.03 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.18 : 1,119.25 = 313.03 : x
  2. Step 2: Convert to fraction form
    746.18/1,119.25 = 313.03/x
  3. Step 3: Cross multiply
    746.18x = 1,119.25 × 313.03
  4. Step 4: Simplify right side
    746.18x = 350,351.67
  5. Step 5: Solve for x
    x = 350,351.67/746.18
  6. Step 6: Final answer
    x = 469.53

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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.