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Finding the Fourth Proportional to 714.22, 1,071.16 and 252.02

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Solution

The fourth proportional to 714.22, 1,071.16 and 252.02 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.22 : 1,071.16 = 252.02 : x
  2. Step 2: Convert to fraction form
    714.22/1,071.16 = 252.02/x
  3. Step 3: Cross multiply
    714.22x = 1,071.16 × 252.02
  4. Step 4: Simplify right side
    714.22x = 269,953.74
  5. Step 5: Solve for x
    x = 269,953.74/714.22
  6. Step 6: Final answer
    x = 377.97

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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.