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Finding the Fourth Proportional to 777, 1,159.47 and 673.32

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Solution

The fourth proportional to 777, 1,159.47 and 673.32 is: 1,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    777 : 1,159.47 = 673.32 : x
  2. Step 2: Convert to fraction form
    777/1,159.47 = 673.32/x
  3. Step 3: Cross multiply
    777x = 1,159.47 × 673.32
  4. Step 4: Simplify right side
    777x = 780,694.34
  5. Step 5: Solve for x
    x = 780,694.34/777
  6. Step 6: Final answer
    x = 1,004.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.