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Finding the Fourth Proportional to 1,201.62, 1,803.24 and 421.61

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Solution

The fourth proportional to 1,201.62, 1,803.24 and 421.61 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.62 : 1,803.24 = 421.61 : x
  2. Step 2: Convert to fraction form
    1,201.62/1,803.24 = 421.61/x
  3. Step 3: Cross multiply
    1,201.62x = 1,803.24 × 421.61
  4. Step 4: Simplify right side
    1,201.62x = 760,263.96
  5. Step 5: Solve for x
    x = 760,263.96/1,201.62
  6. Step 6: Final answer
    x = 632.70

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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.