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Finding the Fourth Proportional to 1,381.69, 2,072.27 and 407.58

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Solution

The fourth proportional to 1,381.69, 2,072.27 and 407.58 is: 611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.69 : 2,072.27 = 407.58 : x
  2. Step 2: Convert to fraction form
    1,381.69/2,072.27 = 407.58/x
  3. Step 3: Cross multiply
    1,381.69x = 2,072.27 × 407.58
  4. Step 4: Simplify right side
    1,381.69x = 844,603.41
  5. Step 5: Solve for x
    x = 844,603.41/1,381.69
  6. Step 6: Final answer
    x = 611.28

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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.