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Finding the Fourth Proportional to 714.67, 1,071.34 and 349.25

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Solution

The fourth proportional to 714.67, 1,071.34 and 349.25 is: 523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.67 : 1,071.34 = 349.25 : x
  2. Step 2: Convert to fraction form
    714.67/1,071.34 = 349.25/x
  3. Step 3: Cross multiply
    714.67x = 1,071.34 × 349.25
  4. Step 4: Simplify right side
    714.67x = 374,165.50
  5. Step 5: Solve for x
    x = 374,165.50/714.67
  6. Step 6: Final answer
    x = 523.55

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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.