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Finding the Fourth Proportional to 1,242.38, 1,864.43 and 463.09

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Solution

The fourth proportional to 1,242.38, 1,864.43 and 463.09 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.38 : 1,864.43 = 463.09 : x
  2. Step 2: Convert to fraction form
    1,242.38/1,864.43 = 463.09/x
  3. Step 3: Cross multiply
    1,242.38x = 1,864.43 × 463.09
  4. Step 4: Simplify right side
    1,242.38x = 863,398.89
  5. Step 5: Solve for x
    x = 863,398.89/1,242.38
  6. Step 6: Final answer
    x = 694.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.