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Finding the Fourth Proportional to 1,231.84, 1,845.24 and 653.68

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Solution

The fourth proportional to 1,231.84, 1,845.24 and 653.68 is: 979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.84 : 1,845.24 = 653.68 : x
  2. Step 2: Convert to fraction form
    1,231.84/1,845.24 = 653.68/x
  3. Step 3: Cross multiply
    1,231.84x = 1,845.24 × 653.68
  4. Step 4: Simplify right side
    1,231.84x = 1,206,196.48
  5. Step 5: Solve for x
    x = 1,206,196.48/1,231.84
  6. Step 6: Final answer
    x = 979.18

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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.