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Finding the Fourth Proportional to 1,224.46, 1,836.60 and 402.58

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Solution

The fourth proportional to 1,224.46, 1,836.60 and 402.58 is: 603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.46 : 1,836.60 = 402.58 : x
  2. Step 2: Convert to fraction form
    1,224.46/1,836.60 = 402.58/x
  3. Step 3: Cross multiply
    1,224.46x = 1,836.60 × 402.58
  4. Step 4: Simplify right side
    1,224.46x = 739,378.43
  5. Step 5: Solve for x
    x = 739,378.43/1,224.46
  6. Step 6: Final answer
    x = 603.84

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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.