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Finding the Fourth Proportional to 1,286, 1,927.56 and 636.04

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Solution

The fourth proportional to 1,286, 1,927.56 and 636.04 is: 953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 1,927.56 = 636.04 : x
  2. Step 2: Convert to fraction form
    1,286/1,927.56 = 636.04/x
  3. Step 3: Cross multiply
    1,286x = 1,927.56 × 636.04
  4. Step 4: Simplify right side
    1,286x = 1,226,005.26
  5. Step 5: Solve for x
    x = 1,226,005.26/1,286
  6. Step 6: Final answer
    x = 953.35

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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.