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Finding the Fourth Proportional to 702.30, 962.16 and 676.03

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Solution

The fourth proportional to 702.30, 962.16 and 676.03 is: 926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.30 : 962.16 = 676.03 : x
  2. Step 2: Convert to fraction form
    702.30/962.16 = 676.03/x
  3. Step 3: Cross multiply
    702.30x = 962.16 × 676.03
  4. Step 4: Simplify right side
    702.30x = 650,449.02
  5. Step 5: Solve for x
    x = 650,449.02/702.30
  6. Step 6: Final answer
    x = 926.17

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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.