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Finding the Fourth Proportional to 776.08, 1,072.54 and 701.96

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Solution

The fourth proportional to 776.08, 1,072.54 and 701.96 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.08 : 1,072.54 = 701.96 : x
  2. Step 2: Convert to fraction form
    776.08/1,072.54 = 701.96/x
  3. Step 3: Cross multiply
    776.08x = 1,072.54 × 701.96
  4. Step 4: Simplify right side
    776.08x = 752,880.18
  5. Step 5: Solve for x
    x = 752,880.18/776.08
  6. Step 6: Final answer
    x = 970.11

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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.