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Finding the Fourth Proportional to 1,222.89, 1,833.57 and 491.64

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Solution

The fourth proportional to 1,222.89, 1,833.57 and 491.64 is: 737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.89 : 1,833.57 = 491.64 : x
  2. Step 2: Convert to fraction form
    1,222.89/1,833.57 = 491.64/x
  3. Step 3: Cross multiply
    1,222.89x = 1,833.57 × 491.64
  4. Step 4: Simplify right side
    1,222.89x = 901,456.35
  5. Step 5: Solve for x
    x = 901,456.35/1,222.89
  6. Step 6: Final answer
    x = 737.15

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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.