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Finding the Fourth Proportional to 1,653.43, 2,480.06 and 557.84

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Solution

The fourth proportional to 1,653.43, 2,480.06 and 557.84 is: 836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.43 : 2,480.06 = 557.84 : x
  2. Step 2: Convert to fraction form
    1,653.43/2,480.06 = 557.84/x
  3. Step 3: Cross multiply
    1,653.43x = 2,480.06 × 557.84
  4. Step 4: Simplify right side
    1,653.43x = 1,383,465.66
  5. Step 5: Solve for x
    x = 1,383,465.66/1,653.43
  6. Step 6: Final answer
    x = 836.73

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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.