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Finding the Fourth Proportional to 714.78, 1,072.14 and 201.78

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Solution

The fourth proportional to 714.78, 1,072.14 and 201.78 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.78 : 1,072.14 = 201.78 : x
  2. Step 2: Convert to fraction form
    714.78/1,072.14 = 201.78/x
  3. Step 3: Cross multiply
    714.78x = 1,072.14 × 201.78
  4. Step 4: Simplify right side
    714.78x = 216,336.41
  5. Step 5: Solve for x
    x = 216,336.41/714.78
  6. Step 6: Final answer
    x = 302.66

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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.