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Finding the Fourth Proportional to 1,606.99, 2,408.73 and 632.02

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Solution

The fourth proportional to 1,606.99, 2,408.73 and 632.02 is: 947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.99 : 2,408.73 = 632.02 : x
  2. Step 2: Convert to fraction form
    1,606.99/2,408.73 = 632.02/x
  3. Step 3: Cross multiply
    1,606.99x = 2,408.73 × 632.02
  4. Step 4: Simplify right side
    1,606.99x = 1,522,365.53
  5. Step 5: Solve for x
    x = 1,522,365.53/1,606.99
  6. Step 6: Final answer
    x = 947.34

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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.