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Finding the Fourth Proportional to 1,225.96, 1,838.89 and 301.47

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Solution

The fourth proportional to 1,225.96, 1,838.89 and 301.47 is: 452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.96 : 1,838.89 = 301.47 : x
  2. Step 2: Convert to fraction form
    1,225.96/1,838.89 = 301.47/x
  3. Step 3: Cross multiply
    1,225.96x = 1,838.89 × 301.47
  4. Step 4: Simplify right side
    1,225.96x = 554,369.41
  5. Step 5: Solve for x
    x = 554,369.41/1,225.96
  6. Step 6: Final answer
    x = 452.19

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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.