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Finding the Fourth Proportional to 1,392.73, 2,089.67 and 468.38

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Solution

The fourth proportional to 1,392.73, 2,089.67 and 468.38 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.73 : 2,089.67 = 468.38 : x
  2. Step 2: Convert to fraction form
    1,392.73/2,089.67 = 468.38/x
  3. Step 3: Cross multiply
    1,392.73x = 2,089.67 × 468.38
  4. Step 4: Simplify right side
    1,392.73x = 978,763.50
  5. Step 5: Solve for x
    x = 978,763.50/1,392.73
  6. Step 6: Final answer
    x = 702.77

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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.