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Finding the Fourth Proportional to 777.15, 1,164.24 and 661.32

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Solution

The fourth proportional to 777.15, 1,164.24 and 661.32 is: 990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.15 : 1,164.24 = 661.32 : x
  2. Step 2: Convert to fraction form
    777.15/1,164.24 = 661.32/x
  3. Step 3: Cross multiply
    777.15x = 1,164.24 × 661.32
  4. Step 4: Simplify right side
    777.15x = 769,935.20
  5. Step 5: Solve for x
    x = 769,935.20/777.15
  6. Step 6: Final answer
    x = 990.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.