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Finding the Fourth Proportional to 746.46, 1,119.06 and 313.02

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Solution

The fourth proportional to 746.46, 1,119.06 and 313.02 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.46 : 1,119.06 = 313.02 : x
  2. Step 2: Convert to fraction form
    746.46/1,119.06 = 313.02/x
  3. Step 3: Cross multiply
    746.46x = 1,119.06 × 313.02
  4. Step 4: Simplify right side
    746.46x = 350,288.16
  5. Step 5: Solve for x
    x = 350,288.16/746.46
  6. Step 6: Final answer
    x = 469.27

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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.