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Finding the Fourth Proportional to 1,369.31, 2,052.54 and 638.28

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Solution

The fourth proportional to 1,369.31, 2,052.54 and 638.28 is: 956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.31 : 2,052.54 = 638.28 : x
  2. Step 2: Convert to fraction form
    1,369.31/2,052.54 = 638.28/x
  3. Step 3: Cross multiply
    1,369.31x = 2,052.54 × 638.28
  4. Step 4: Simplify right side
    1,369.31x = 1,310,095.23
  5. Step 5: Solve for x
    x = 1,310,095.23/1,369.31
  6. Step 6: Final answer
    x = 956.76

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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.