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Finding the Fourth Proportional to 1,207.58, 1,803.61 and 1,022.60

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Solution

The fourth proportional to 1,207.58, 1,803.61 and 1,022.60 is: 1,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.58 : 1,803.61 = 1,022.60 : x
  2. Step 2: Convert to fraction form
    1,207.58/1,803.61 = 1,022.60/x
  3. Step 3: Cross multiply
    1,207.58x = 1,803.61 × 1,022.60
  4. Step 4: Simplify right side
    1,207.58x = 1,844,371.59
  5. Step 5: Solve for x
    x = 1,844,371.59/1,207.58
  6. Step 6: Final answer
    x = 1,527.33

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