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Finding the Fourth Proportional to 1,233.83, 1,850.55 and 400.98

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Solution

The fourth proportional to 1,233.83, 1,850.55 and 400.98 is: 601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.83 : 1,850.55 = 400.98 : x
  2. Step 2: Convert to fraction form
    1,233.83/1,850.55 = 400.98/x
  3. Step 3: Cross multiply
    1,233.83x = 1,850.55 × 400.98
  4. Step 4: Simplify right side
    1,233.83x = 742,038.97
  5. Step 5: Solve for x
    x = 742,038.97/1,233.83
  6. Step 6: Final answer
    x = 601.41

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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.