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Finding the Fourth Proportional to 939.95, 1,296.33 and 704.45

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Solution

The fourth proportional to 939.95, 1,296.33 and 704.45 is: 971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.95 : 1,296.33 = 704.45 : x
  2. Step 2: Convert to fraction form
    939.95/1,296.33 = 704.45/x
  3. Step 3: Cross multiply
    939.95x = 1,296.33 × 704.45
  4. Step 4: Simplify right side
    939.95x = 913,193.19
  5. Step 5: Solve for x
    x = 913,193.19/939.95
  6. Step 6: Final answer
    x = 971.54

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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.