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Finding the Fourth Proportional to 714.88, 1,071.69 and 349.30

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Solution

The fourth proportional to 714.88, 1,071.69 and 349.30 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 1,071.69 = 349.30 : x
  2. Step 2: Convert to fraction form
    714.88/1,071.69 = 349.30/x
  3. Step 3: Cross multiply
    714.88x = 1,071.69 × 349.30
  4. Step 4: Simplify right side
    714.88x = 374,341.32
  5. Step 5: Solve for x
    x = 374,341.32/714.88
  6. Step 6: Final answer
    x = 523.64

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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.