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Finding the Fourth Proportional to 1,548.43, 2,136.85 and 840.29

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Solution

The fourth proportional to 1,548.43, 2,136.85 and 840.29 is: 1,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.43 : 2,136.85 = 840.29 : x
  2. Step 2: Convert to fraction form
    1,548.43/2,136.85 = 840.29/x
  3. Step 3: Cross multiply
    1,548.43x = 2,136.85 × 840.29
  4. Step 4: Simplify right side
    1,548.43x = 1,795,560.90
  5. Step 5: Solve for x
    x = 1,795,560.90/1,548.43
  6. Step 6: Final answer
    x = 1,159.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.