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Finding the Fourth Proportional to 1,633.06, 2,450.10 and 478.82

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Solution

The fourth proportional to 1,633.06, 2,450.10 and 478.82 is: 718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.06 : 2,450.10 = 478.82 : x
  2. Step 2: Convert to fraction form
    1,633.06/2,450.10 = 478.82/x
  3. Step 3: Cross multiply
    1,633.06x = 2,450.10 × 478.82
  4. Step 4: Simplify right side
    1,633.06x = 1,173,156.88
  5. Step 5: Solve for x
    x = 1,173,156.88/1,633.06
  6. Step 6: Final answer
    x = 718.38

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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.