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Finding the Fourth Proportional to 751.16, 1,035.42 and 736.58

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Solution

The fourth proportional to 751.16, 1,035.42 and 736.58 is: 1,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.16 : 1,035.42 = 736.58 : x
  2. Step 2: Convert to fraction form
    751.16/1,035.42 = 736.58/x
  3. Step 3: Cross multiply
    751.16x = 1,035.42 × 736.58
  4. Step 4: Simplify right side
    751.16x = 762,664.49
  5. Step 5: Solve for x
    x = 762,664.49/751.16
  6. Step 6: Final answer
    x = 1,015.32

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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.