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Finding the Fourth Proportional to 1,232.19, 1,846.65 and 451.47

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Solution

The fourth proportional to 1,232.19, 1,846.65 and 451.47 is: 676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.19 : 1,846.65 = 451.47 : x
  2. Step 2: Convert to fraction form
    1,232.19/1,846.65 = 451.47/x
  3. Step 3: Cross multiply
    1,232.19x = 1,846.65 × 451.47
  4. Step 4: Simplify right side
    1,232.19x = 833,707.08
  5. Step 5: Solve for x
    x = 833,707.08/1,232.19
  6. Step 6: Final answer
    x = 676.61

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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.