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Finding the Fourth Proportional to 1,234.47, 1,848.11 and 648.09

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Solution

The fourth proportional to 1,234.47, 1,848.11 and 648.09 is: 970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.47 : 1,848.11 = 648.09 : x
  2. Step 2: Convert to fraction form
    1,234.47/1,848.11 = 648.09/x
  3. Step 3: Cross multiply
    1,234.47x = 1,848.11 × 648.09
  4. Step 4: Simplify right side
    1,234.47x = 1,197,738.37
  5. Step 5: Solve for x
    x = 1,197,738.37/1,234.47
  6. Step 6: Final answer
    x = 970.25

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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.