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Finding the Fourth Proportional to 1,243.77, 1,864.89 and 421.97

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Solution

The fourth proportional to 1,243.77, 1,864.89 and 421.97 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.77 : 1,864.89 = 421.97 : x
  2. Step 2: Convert to fraction form
    1,243.77/1,864.89 = 421.97/x
  3. Step 3: Cross multiply
    1,243.77x = 1,864.89 × 421.97
  4. Step 4: Simplify right side
    1,243.77x = 786,927.63
  5. Step 5: Solve for x
    x = 786,927.63/1,243.77
  6. Step 6: Final answer
    x = 632.70

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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.