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Finding the Fourth Proportional to 702.78, 968.31 and 670.02

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Solution

The fourth proportional to 702.78, 968.31 and 670.02 is: 923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 968.31 = 670.02 : x
  2. Step 2: Convert to fraction form
    702.78/968.31 = 670.02/x
  3. Step 3: Cross multiply
    702.78x = 968.31 × 670.02
  4. Step 4: Simplify right side
    702.78x = 648,787.07
  5. Step 5: Solve for x
    x = 648,787.07/702.78
  6. Step 6: Final answer
    x = 923.17

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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.