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Finding the Fourth Proportional to 714.14, 1,071.23 and 384.93

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Solution

The fourth proportional to 714.14, 1,071.23 and 384.93 is: 577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.14 : 1,071.23 = 384.93 : x
  2. Step 2: Convert to fraction form
    714.14/1,071.23 = 384.93/x
  3. Step 3: Cross multiply
    714.14x = 1,071.23 × 384.93
  4. Step 4: Simplify right side
    714.14x = 412,348.56
  5. Step 5: Solve for x
    x = 412,348.56/714.14
  6. Step 6: Final answer
    x = 577.41

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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.