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Finding the Fourth Proportional to 751.96, 1,127.73 and 313.54

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Solution

The fourth proportional to 751.96, 1,127.73 and 313.54 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.96 : 1,127.73 = 313.54 : x
  2. Step 2: Convert to fraction form
    751.96/1,127.73 = 313.54/x
  3. Step 3: Cross multiply
    751.96x = 1,127.73 × 313.54
  4. Step 4: Simplify right side
    751.96x = 353,588.46
  5. Step 5: Solve for x
    x = 353,588.46/751.96
  6. Step 6: Final answer
    x = 470.22

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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.