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Finding the Fourth Proportional to 653.88, 979.86 and 409.70

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Solution

The fourth proportional to 653.88, 979.86 and 409.70 is: 613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 979.86 = 409.70 : x
  2. Step 2: Convert to fraction form
    653.88/979.86 = 409.70/x
  3. Step 3: Cross multiply
    653.88x = 979.86 × 409.70
  4. Step 4: Simplify right side
    653.88x = 401,448.64
  5. Step 5: Solve for x
    x = 401,448.64/653.88
  6. Step 6: Final answer
    x = 613.95

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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.