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Finding the Fourth Proportional to 1,456.10, 2,009.27 and 850.46

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Solution

The fourth proportional to 1,456.10, 2,009.27 and 850.46 is: 1,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.10 : 2,009.27 = 850.46 : x
  2. Step 2: Convert to fraction form
    1,456.10/2,009.27 = 850.46/x
  3. Step 3: Cross multiply
    1,456.10x = 2,009.27 × 850.46
  4. Step 4: Simplify right side
    1,456.10x = 1,708,807.72
  5. Step 5: Solve for x
    x = 1,708,807.72/1,456.10
  6. Step 6: Final answer
    x = 1,173.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.