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Finding the Fourth Proportional to 1,226.02, 1,837.24 and 568.10

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Solution

The fourth proportional to 1,226.02, 1,837.24 and 568.10 is: 851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.02 : 1,837.24 = 568.10 : x
  2. Step 2: Convert to fraction form
    1,226.02/1,837.24 = 568.10/x
  3. Step 3: Cross multiply
    1,226.02x = 1,837.24 × 568.10
  4. Step 4: Simplify right side
    1,226.02x = 1,043,726.86
  5. Step 5: Solve for x
    x = 1,043,726.86/1,226.02
  6. Step 6: Final answer
    x = 851.31

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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.