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Finding the Fourth Proportional to 1,584.66, 2,377.28 and 659.76

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Solution

The fourth proportional to 1,584.66, 2,377.28 and 659.76 is: 989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.66 : 2,377.28 = 659.76 : x
  2. Step 2: Convert to fraction form
    1,584.66/2,377.28 = 659.76/x
  3. Step 3: Cross multiply
    1,584.66x = 2,377.28 × 659.76
  4. Step 4: Simplify right side
    1,584.66x = 1,568,434.25
  5. Step 5: Solve for x
    x = 1,568,434.25/1,584.66
  6. Step 6: Final answer
    x = 989.76

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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.