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Finding the Fourth Proportional to 945.34, 1,418.24 and 751.07

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Solution

The fourth proportional to 945.34, 1,418.24 and 751.07 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.34 : 1,418.24 = 751.07 : x
  2. Step 2: Convert to fraction form
    945.34/1,418.24 = 751.07/x
  3. Step 3: Cross multiply
    945.34x = 1,418.24 × 751.07
  4. Step 4: Simplify right side
    945.34x = 1,065,202.94
  5. Step 5: Solve for x
    x = 1,065,202.94/945.34
  6. Step 6: Final answer
    x = 1,126.80

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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.