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Finding the Fourth Proportional to 965.98, 1,333.07 and 523.90

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Solution

The fourth proportional to 965.98, 1,333.07 and 523.90 is: 722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,333.07 = 523.90 : x
  2. Step 2: Convert to fraction form
    965.98/1,333.07 = 523.90/x
  3. Step 3: Cross multiply
    965.98x = 1,333.07 × 523.90
  4. Step 4: Simplify right side
    965.98x = 698,393.35
  5. Step 5: Solve for x
    x = 698,393.35/965.98
  6. Step 6: Final answer
    x = 722.99

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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.