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Finding the Fourth Proportional to 1,406.50, 2,111.37 and 637

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Solution

The fourth proportional to 1,406.50, 2,111.37 and 637 is: 956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.50 : 2,111.37 = 637 : x
  2. Step 2: Convert to fraction form
    1,406.50/2,111.37 = 637/x
  3. Step 3: Cross multiply
    1,406.50x = 2,111.37 × 637
  4. Step 4: Simplify right side
    1,406.50x = 1,344,942.69
  5. Step 5: Solve for x
    x = 1,344,942.69/1,406.50
  6. Step 6: Final answer
    x = 956.23

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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.