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Finding the Fourth Proportional to 1,180.60, 1,629.64 and 776.86

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Solution

The fourth proportional to 1,180.60, 1,629.64 and 776.86 is: 1,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.60 : 1,629.64 = 776.86 : x
  2. Step 2: Convert to fraction form
    1,180.60/1,629.64 = 776.86/x
  3. Step 3: Cross multiply
    1,180.60x = 1,629.64 × 776.86
  4. Step 4: Simplify right side
    1,180.60x = 1,266,002.13
  5. Step 5: Solve for x
    x = 1,266,002.13/1,180.60
  6. Step 6: Final answer
    x = 1,072.34

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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.