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Finding the Fourth Proportional to 1,225.98, 1,838.96 and 301.53

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Solution

The fourth proportional to 1,225.98, 1,838.96 and 301.53 is: 452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.98 : 1,838.96 = 301.53 : x
  2. Step 2: Convert to fraction form
    1,225.98/1,838.96 = 301.53/x
  3. Step 3: Cross multiply
    1,225.98x = 1,838.96 × 301.53
  4. Step 4: Simplify right side
    1,225.98x = 554,501.61
  5. Step 5: Solve for x
    x = 554,501.61/1,225.98
  6. Step 6: Final answer
    x = 452.29

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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.