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Finding the Fourth Proportional to 1,171.20, 1,616.30 and 674.00

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Solution

The fourth proportional to 1,171.20, 1,616.30 and 674.00 is: 930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.20 : 1,616.30 = 674.00 : x
  2. Step 2: Convert to fraction form
    1,171.20/1,616.30 = 674.00/x
  3. Step 3: Cross multiply
    1,171.20x = 1,616.30 × 674.00
  4. Step 4: Simplify right side
    1,171.20x = 1,089,374.75
  5. Step 5: Solve for x
    x = 1,089,374.75/1,171.20
  6. Step 6: Final answer
    x = 930.14

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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.