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Finding the Fourth Proportional to 756.22, 1,135.71 and 698.38

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Solution

The fourth proportional to 756.22, 1,135.71 and 698.38 is: 1,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.22 : 1,135.71 = 698.38 : x
  2. Step 2: Convert to fraction form
    756.22/1,135.71 = 698.38/x
  3. Step 3: Cross multiply
    756.22x = 1,135.71 × 698.38
  4. Step 4: Simplify right side
    756.22x = 793,157.15
  5. Step 5: Solve for x
    x = 793,157.15/756.22
  6. Step 6: Final answer
    x = 1,048.84

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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.