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Finding the Fourth Proportional to 1,659.40, 2,489.06 and 505.14

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Solution

The fourth proportional to 1,659.40, 2,489.06 and 505.14 is: 757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.40 : 2,489.06 = 505.14 : x
  2. Step 2: Convert to fraction form
    1,659.40/2,489.06 = 505.14/x
  3. Step 3: Cross multiply
    1,659.40x = 2,489.06 × 505.14
  4. Step 4: Simplify right side
    1,659.40x = 1,257,323.77
  5. Step 5: Solve for x
    x = 1,257,323.77/1,659.40
  6. Step 6: Final answer
    x = 757.70

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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.