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Finding the Fourth Proportional to 1,225.50, 1,837.96 and 403.76

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Solution

The fourth proportional to 1,225.50, 1,837.96 and 403.76 is: 605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.50 : 1,837.96 = 403.76 : x
  2. Step 2: Convert to fraction form
    1,225.50/1,837.96 = 403.76/x
  3. Step 3: Cross multiply
    1,225.50x = 1,837.96 × 403.76
  4. Step 4: Simplify right side
    1,225.50x = 742,094.73
  5. Step 5: Solve for x
    x = 742,094.73/1,225.50
  6. Step 6: Final answer
    x = 605.54

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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.