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Finding the Fourth Proportional to 1,392.89, 2,089.15 and 468.43

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Solution

The fourth proportional to 1,392.89, 2,089.15 and 468.43 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.89 : 2,089.15 = 468.43 : x
  2. Step 2: Convert to fraction form
    1,392.89/2,089.15 = 468.43/x
  3. Step 3: Cross multiply
    1,392.89x = 2,089.15 × 468.43
  4. Step 4: Simplify right side
    1,392.89x = 978,614.14
  5. Step 5: Solve for x
    x = 978,614.14/1,392.89
  6. Step 6: Final answer
    x = 702.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.