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Finding the Fourth Proportional to 776.16, 1,071.14 and 481.32

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Solution

The fourth proportional to 776.16, 1,071.14 and 481.32 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,071.14 = 481.32 : x
  2. Step 2: Convert to fraction form
    776.16/1,071.14 = 481.32/x
  3. Step 3: Cross multiply
    776.16x = 1,071.14 × 481.32
  4. Step 4: Simplify right side
    776.16x = 515,561.10
  5. Step 5: Solve for x
    x = 515,561.10/776.16
  6. Step 6: Final answer
    x = 664.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.