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Finding the Fourth Proportional to 702.99, 965.19 and 684.93

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Solution

The fourth proportional to 702.99, 965.19 and 684.93 is: 940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 965.19 = 684.93 : x
  2. Step 2: Convert to fraction form
    702.99/965.19 = 684.93/x
  3. Step 3: Cross multiply
    702.99x = 965.19 × 684.93
  4. Step 4: Simplify right side
    702.99x = 661,087.59
  5. Step 5: Solve for x
    x = 661,087.59/702.99
  6. Step 6: Final answer
    x = 940.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.