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Finding the Fourth Proportional to 751.96, 1,038.36 and 727.48

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Solution

The fourth proportional to 751.96, 1,038.36 and 727.48 is: 1,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.96 : 1,038.36 = 727.48 : x
  2. Step 2: Convert to fraction form
    751.96/1,038.36 = 727.48/x
  3. Step 3: Cross multiply
    751.96x = 1,038.36 × 727.48
  4. Step 4: Simplify right side
    751.96x = 755,386.13
  5. Step 5: Solve for x
    x = 755,386.13/751.96
  6. Step 6: Final answer
    x = 1,004.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.