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Finding the Fourth Proportional to 1,606.99, 2,411.84 and 633.77

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Solution

The fourth proportional to 1,606.99, 2,411.84 and 633.77 is: 951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.99 : 2,411.84 = 633.77 : x
  2. Step 2: Convert to fraction form
    1,606.99/2,411.84 = 633.77/x
  3. Step 3: Cross multiply
    1,606.99x = 2,411.84 × 633.77
  4. Step 4: Simplify right side
    1,606.99x = 1,528,551.84
  5. Step 5: Solve for x
    x = 1,528,551.84/1,606.99
  6. Step 6: Final answer
    x = 951.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.