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Finding the Fourth Proportional to 751.75, 1,038.27 and 741.51

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Solution

The fourth proportional to 751.75, 1,038.27 and 741.51 is: 1,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.75 : 1,038.27 = 741.51 : x
  2. Step 2: Convert to fraction form
    751.75/1,038.27 = 741.51/x
  3. Step 3: Cross multiply
    751.75x = 1,038.27 × 741.51
  4. Step 4: Simplify right side
    751.75x = 769,887.59
  5. Step 5: Solve for x
    x = 769,887.59/751.75
  6. Step 6: Final answer
    x = 1,024.13

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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.