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Finding the Fourth Proportional to 927.45, 1,390.37 and 681.21

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Solution

The fourth proportional to 927.45, 1,390.37 and 681.21 is: 1,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.45 : 1,390.37 = 681.21 : x
  2. Step 2: Convert to fraction form
    927.45/1,390.37 = 681.21/x
  3. Step 3: Cross multiply
    927.45x = 1,390.37 × 681.21
  4. Step 4: Simplify right side
    927.45x = 947,130.54
  5. Step 5: Solve for x
    x = 947,130.54/927.45
  6. Step 6: Final answer
    x = 1,021.22

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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.