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Finding the Fourth Proportional to 714.44, 1,071.50 and 425.96

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Solution

The fourth proportional to 714.44, 1,071.50 and 425.96 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.44 : 1,071.50 = 425.96 : x
  2. Step 2: Convert to fraction form
    714.44/1,071.50 = 425.96/x
  3. Step 3: Cross multiply
    714.44x = 1,071.50 × 425.96
  4. Step 4: Simplify right side
    714.44x = 456,416.14
  5. Step 5: Solve for x
    x = 456,416.14/714.44
  6. Step 6: Final answer
    x = 638.84

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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.