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Finding the Fourth Proportional to 1,423.88, 2,136.78 and 558.26

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Solution

The fourth proportional to 1,423.88, 2,136.78 and 558.26 is: 837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.88 : 2,136.78 = 558.26 : x
  2. Step 2: Convert to fraction form
    1,423.88/2,136.78 = 558.26/x
  3. Step 3: Cross multiply
    1,423.88x = 2,136.78 × 558.26
  4. Step 4: Simplify right side
    1,423.88x = 1,192,878.80
  5. Step 5: Solve for x
    x = 1,192,878.80/1,423.88
  6. Step 6: Final answer
    x = 837.77

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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.