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Finding the Fourth Proportional to 751.34, 1,120.39 and 699.41

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Solution

The fourth proportional to 751.34, 1,120.39 and 699.41 is: 1,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.34 : 1,120.39 = 699.41 : x
  2. Step 2: Convert to fraction form
    751.34/1,120.39 = 699.41/x
  3. Step 3: Cross multiply
    751.34x = 1,120.39 × 699.41
  4. Step 4: Simplify right side
    751.34x = 783,613.02
  5. Step 5: Solve for x
    x = 783,613.02/751.34
  6. Step 6: Final answer
    x = 1,042.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.