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Finding the Fourth Proportional to 1,650.84, 2,476.26 and 496.59

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Solution

The fourth proportional to 1,650.84, 2,476.26 and 496.59 is: 744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.84 : 2,476.26 = 496.59 : x
  2. Step 2: Convert to fraction form
    1,650.84/2,476.26 = 496.59/x
  3. Step 3: Cross multiply
    1,650.84x = 2,476.26 × 496.59
  4. Step 4: Simplify right side
    1,650.84x = 1,229,685.95
  5. Step 5: Solve for x
    x = 1,229,685.95/1,650.84
  6. Step 6: Final answer
    x = 744.89

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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.