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Finding the Fourth Proportional to 1,222.37, 1,833.55 and 442.47

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Solution

The fourth proportional to 1,222.37, 1,833.55 and 442.47 is: 663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.37 : 1,833.55 = 442.47 : x
  2. Step 2: Convert to fraction form
    1,222.37/1,833.55 = 442.47/x
  3. Step 3: Cross multiply
    1,222.37x = 1,833.55 × 442.47
  4. Step 4: Simplify right side
    1,222.37x = 811,289.76
  5. Step 5: Solve for x
    x = 811,289.76/1,222.37
  6. Step 6: Final answer
    x = 663.71

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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.