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Finding the Fourth Proportional to 1,210.34, 1,815.43 and 552.26

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Solution

The fourth proportional to 1,210.34, 1,815.43 and 552.26 is: 828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.34 : 1,815.43 = 552.26 : x
  2. Step 2: Convert to fraction form
    1,210.34/1,815.43 = 552.26/x
  3. Step 3: Cross multiply
    1,210.34x = 1,815.43 × 552.26
  4. Step 4: Simplify right side
    1,210.34x = 1,002,589.37
  5. Step 5: Solve for x
    x = 1,002,589.37/1,210.34
  6. Step 6: Final answer
    x = 828.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.