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Finding the Fourth Proportional to 1,222.47, 1,833.84 and 389.73

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Solution

The fourth proportional to 1,222.47, 1,833.84 and 389.73 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.47 : 1,833.84 = 389.73 : x
  2. Step 2: Convert to fraction form
    1,222.47/1,833.84 = 389.73/x
  3. Step 3: Cross multiply
    1,222.47x = 1,833.84 × 389.73
  4. Step 4: Simplify right side
    1,222.47x = 714,702.46
  5. Step 5: Solve for x
    x = 714,702.46/1,222.47
  6. Step 6: Final answer
    x = 584.64

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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.