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Finding the Fourth Proportional to 927.69, 1,390.81 and 465.23

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Solution

The fourth proportional to 927.69, 1,390.81 and 465.23 is: 697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.69 : 1,390.81 = 465.23 : x
  2. Step 2: Convert to fraction form
    927.69/1,390.81 = 465.23/x
  3. Step 3: Cross multiply
    927.69x = 1,390.81 × 465.23
  4. Step 4: Simplify right side
    927.69x = 647,037.26
  5. Step 5: Solve for x
    x = 647,037.26/927.69
  6. Step 6: Final answer
    x = 697.48

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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.