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Finding the Fourth Proportional to 905.70, 1,356.66 and 751.26

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Solution

The fourth proportional to 905.70, 1,356.66 and 751.26 is: 1,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.70 : 1,356.66 = 751.26 : x
  2. Step 2: Convert to fraction form
    905.70/1,356.66 = 751.26/x
  3. Step 3: Cross multiply
    905.70x = 1,356.66 × 751.26
  4. Step 4: Simplify right side
    905.70x = 1,019,204.39
  5. Step 5: Solve for x
    x = 1,019,204.39/905.70
  6. Step 6: Final answer
    x = 1,125.32

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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.