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Finding the Fourth Proportional to 1,409.12, 2,114.52 and 784.94

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Solution

The fourth proportional to 1,409.12, 2,114.52 and 784.94 is: 1,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.12 : 2,114.52 = 784.94 : x
  2. Step 2: Convert to fraction form
    1,409.12/2,114.52 = 784.94/x
  3. Step 3: Cross multiply
    1,409.12x = 2,114.52 × 784.94
  4. Step 4: Simplify right side
    1,409.12x = 1,659,771.33
  5. Step 5: Solve for x
    x = 1,659,771.33/1,409.12
  6. Step 6: Final answer
    x = 1,177.88

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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.