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Finding the Fourth Proportional to 1,171.64, 1,616.64 and 674.30

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Solution

The fourth proportional to 1,171.64, 1,616.64 and 674.30 is: 930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.64 : 1,616.64 = 674.30 : x
  2. Step 2: Convert to fraction form
    1,171.64/1,616.64 = 674.30/x
  3. Step 3: Cross multiply
    1,171.64x = 1,616.64 × 674.30
  4. Step 4: Simplify right side
    1,171.64x = 1,090,092.27
  5. Step 5: Solve for x
    x = 1,090,092.27/1,171.64
  6. Step 6: Final answer
    x = 930.40

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1.5x scale

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.