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Finding the Fourth Proportional to 1,234.90, 1,849.56 and 617.28

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Solution

The fourth proportional to 1,234.90, 1,849.56 and 617.28 is: 924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.90 : 1,849.56 = 617.28 : x
  2. Step 2: Convert to fraction form
    1,234.90/1,849.56 = 617.28/x
  3. Step 3: Cross multiply
    1,234.90x = 1,849.56 × 617.28
  4. Step 4: Simplify right side
    1,234.90x = 1,141,696.40
  5. Step 5: Solve for x
    x = 1,141,696.40/1,234.90
  6. Step 6: Final answer
    x = 924.53

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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.