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Finding the Fourth Proportional to 779.64, 1,074.09 and 645.99

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Solution

The fourth proportional to 779.64, 1,074.09 and 645.99 is: 889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.64 : 1,074.09 = 645.99 : x
  2. Step 2: Convert to fraction form
    779.64/1,074.09 = 645.99/x
  3. Step 3: Cross multiply
    779.64x = 1,074.09 × 645.99
  4. Step 4: Simplify right side
    779.64x = 693,851.40
  5. Step 5: Solve for x
    x = 693,851.40/779.64
  6. Step 6: Final answer
    x = 889.96

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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.