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Finding the Fourth Proportional to 1,463.91, 2,196.21 and 423.93

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Solution

The fourth proportional to 1,463.91, 2,196.21 and 423.93 is: 636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.91 : 2,196.21 = 423.93 : x
  2. Step 2: Convert to fraction form
    1,463.91/2,196.21 = 423.93/x
  3. Step 3: Cross multiply
    1,463.91x = 2,196.21 × 423.93
  4. Step 4: Simplify right side
    1,463.91x = 931,049.13
  5. Step 5: Solve for x
    x = 931,049.13/1,463.91
  6. Step 6: Final answer
    x = 636.00

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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.