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Finding the Fourth Proportional to 1,233.13, 1,849.96 and 463.63

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Solution

The fourth proportional to 1,233.13, 1,849.96 and 463.63 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.13 : 1,849.96 = 463.63 : x
  2. Step 2: Convert to fraction form
    1,233.13/1,849.96 = 463.63/x
  3. Step 3: Cross multiply
    1,233.13x = 1,849.96 × 463.63
  4. Step 4: Simplify right side
    1,233.13x = 857,687.71
  5. Step 5: Solve for x
    x = 857,687.71/1,233.13
  6. Step 6: Final answer
    x = 695.54

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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.