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Finding the Fourth Proportional to 714.06, 1,071.10 and 201.06

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Solution

The fourth proportional to 714.06, 1,071.10 and 201.06 is: 301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 1,071.10 = 201.06 : x
  2. Step 2: Convert to fraction form
    714.06/1,071.10 = 201.06/x
  3. Step 3: Cross multiply
    714.06x = 1,071.10 × 201.06
  4. Step 4: Simplify right side
    714.06x = 215,357.04
  5. Step 5: Solve for x
    x = 215,357.04/714.06
  6. Step 6: Final answer
    x = 301.59

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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.