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Finding the Fourth Proportional to 714.83, 1,072.67 and 390.42

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Solution

The fourth proportional to 714.83, 1,072.67 and 390.42 is: 585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.83 : 1,072.67 = 390.42 : x
  2. Step 2: Convert to fraction form
    714.83/1,072.67 = 390.42/x
  3. Step 3: Cross multiply
    714.83x = 1,072.67 × 390.42
  4. Step 4: Simplify right side
    714.83x = 418,789.87
  5. Step 5: Solve for x
    x = 418,789.87/714.83
  6. Step 6: Final answer
    x = 585.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.