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Finding the Fourth Proportional to 1,409.57, 2,114.65 and 422.30

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Solution

The fourth proportional to 1,409.57, 2,114.65 and 422.30 is: 633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.57 : 2,114.65 = 422.30 : x
  2. Step 2: Convert to fraction form
    1,409.57/2,114.65 = 422.30/x
  3. Step 3: Cross multiply
    1,409.57x = 2,114.65 × 422.30
  4. Step 4: Simplify right side
    1,409.57x = 893,016.70
  5. Step 5: Solve for x
    x = 893,016.70/1,409.57
  6. Step 6: Final answer
    x = 633.54

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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.