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Finding the Fourth Proportional to 702.01, 1,051.62 and 644.60

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Solution

The fourth proportional to 702.01, 1,051.62 and 644.60 is: 965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.01 : 1,051.62 = 644.60 : x
  2. Step 2: Convert to fraction form
    702.01/1,051.62 = 644.60/x
  3. Step 3: Cross multiply
    702.01x = 1,051.62 × 644.60
  4. Step 4: Simplify right side
    702.01x = 677,874.46
  5. Step 5: Solve for x
    x = 677,874.46/702.01
  6. Step 6: Final answer
    x = 965.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.