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Finding the Fourth Proportional to 1,736.60, 2,602.44 and 760.64

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Solution

The fourth proportional to 1,736.60, 2,602.44 and 760.64 is: 1,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.60 : 2,602.44 = 760.64 : x
  2. Step 2: Convert to fraction form
    1,736.60/2,602.44 = 760.64/x
  3. Step 3: Cross multiply
    1,736.60x = 2,602.44 × 760.64
  4. Step 4: Simplify right side
    1,736.60x = 1,979,519.96
  5. Step 5: Solve for x
    x = 1,979,519.96/1,736.60
  6. Step 6: Final answer
    x = 1,139.88

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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.