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Finding the Fourth Proportional to 1,409.83, 2,114.62 and 629.87

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Solution

The fourth proportional to 1,409.83, 2,114.62 and 629.87 is: 944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.83 : 2,114.62 = 629.87 : x
  2. Step 2: Convert to fraction form
    1,409.83/2,114.62 = 629.87/x
  3. Step 3: Cross multiply
    1,409.83x = 2,114.62 × 629.87
  4. Step 4: Simplify right side
    1,409.83x = 1,331,935.70
  5. Step 5: Solve for x
    x = 1,331,935.70/1,409.83
  6. Step 6: Final answer
    x = 944.75

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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.