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Finding the Fourth Proportional to 714.27, 1,069.76 and 689.65

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Solution

The fourth proportional to 714.27, 1,069.76 and 689.65 is: 1,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.27 : 1,069.76 = 689.65 : x
  2. Step 2: Convert to fraction form
    714.27/1,069.76 = 689.65/x
  3. Step 3: Cross multiply
    714.27x = 1,069.76 × 689.65
  4. Step 4: Simplify right side
    714.27x = 737,759.98
  5. Step 5: Solve for x
    x = 737,759.98/714.27
  6. Step 6: Final answer
    x = 1,032.89

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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.