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Finding the Fourth Proportional to 4,277, 6,416.58 and 1,199

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Solution

The fourth proportional to 4,277, 6,416.58 and 1,199 is: 1,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277 : 6,416.58 = 1,199 : x
  2. Step 2: Convert to fraction form
    4,277/6,416.58 = 1,199/x
  3. Step 3: Cross multiply
    4,277x = 6,416.58 × 1,199
  4. Step 4: Simplify right side
    4,277x = 7,693,479.42
  5. Step 5: Solve for x
    x = 7,693,479.42/4,277
  6. Step 6: Final answer
    x = 1,798.80

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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.