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Finding the Fourth Proportional to 702.86, 970.23 and 629.96

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Solution

The fourth proportional to 702.86, 970.23 and 629.96 is: 869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.86 : 970.23 = 629.96 : x
  2. Step 2: Convert to fraction form
    702.86/970.23 = 629.96/x
  3. Step 3: Cross multiply
    702.86x = 970.23 × 629.96
  4. Step 4: Simplify right side
    702.86x = 611,201.24
  5. Step 5: Solve for x
    x = 611,201.24/702.86
  6. Step 6: Final answer
    x = 869.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.