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Finding the Fourth Proportional to 779.37, 1,165.37 and 670.02

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Solution

The fourth proportional to 779.37, 1,165.37 and 670.02 is: 1,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.37 : 1,165.37 = 670.02 : x
  2. Step 2: Convert to fraction form
    779.37/1,165.37 = 670.02/x
  3. Step 3: Cross multiply
    779.37x = 1,165.37 × 670.02
  4. Step 4: Simplify right side
    779.37x = 780,817.86
  5. Step 5: Solve for x
    x = 780,817.86/779.37
  6. Step 6: Final answer
    x = 1,001.86

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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.