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Finding the Fourth Proportional to 1,423.92, 2,136.32 and 499.49

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Solution

The fourth proportional to 1,423.92, 2,136.32 and 499.49 is: 749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.92 : 2,136.32 = 499.49 : x
  2. Step 2: Convert to fraction form
    1,423.92/2,136.32 = 499.49/x
  3. Step 3: Cross multiply
    1,423.92x = 2,136.32 × 499.49
  4. Step 4: Simplify right side
    1,423.92x = 1,067,065.31
  5. Step 5: Solve for x
    x = 1,067,065.31/1,423.92
  6. Step 6: Final answer
    x = 749.39

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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.