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Finding the Fourth Proportional to 1,245.33, 1,862.73 and 916.47

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Solution

The fourth proportional to 1,245.33, 1,862.73 and 916.47 is: 1,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.33 : 1,862.73 = 916.47 : x
  2. Step 2: Convert to fraction form
    1,245.33/1,862.73 = 916.47/x
  3. Step 3: Cross multiply
    1,245.33x = 1,862.73 × 916.47
  4. Step 4: Simplify right side
    1,245.33x = 1,707,136.16
  5. Step 5: Solve for x
    x = 1,707,136.16/1,245.33
  6. Step 6: Final answer
    x = 1,370.83

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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.