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Finding the Fourth Proportional to 776.06, 1,068.24 and 650.34

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Solution

The fourth proportional to 776.06, 1,068.24 and 650.34 is: 895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.06 : 1,068.24 = 650.34 : x
  2. Step 2: Convert to fraction form
    776.06/1,068.24 = 650.34/x
  3. Step 3: Cross multiply
    776.06x = 1,068.24 × 650.34
  4. Step 4: Simplify right side
    776.06x = 694,719.20
  5. Step 5: Solve for x
    x = 694,719.20/776.06
  6. Step 6: Final answer
    x = 895.19

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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.