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Finding the Fourth Proportional to 1,633.76, 2,450.44 and 463.86

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Solution

The fourth proportional to 1,633.76, 2,450.44 and 463.86 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.76 : 2,450.44 = 463.86 : x
  2. Step 2: Convert to fraction form
    1,633.76/2,450.44 = 463.86/x
  3. Step 3: Cross multiply
    1,633.76x = 2,450.44 × 463.86
  4. Step 4: Simplify right side
    1,633.76x = 1,136,670.87
  5. Step 5: Solve for x
    x = 1,136,670.87/1,633.76
  6. Step 6: Final answer
    x = 695.74

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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.