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Finding the Fourth Proportional to 714.42, 986.82 and 550.65

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Solution

The fourth proportional to 714.42, 986.82 and 550.65 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 986.82 = 550.65 : x
  2. Step 2: Convert to fraction form
    714.42/986.82 = 550.65/x
  3. Step 3: Cross multiply
    714.42x = 986.82 × 550.65
  4. Step 4: Simplify right side
    714.42x = 543,392.43
  5. Step 5: Solve for x
    x = 543,392.43/714.42
  6. Step 6: Final answer
    x = 760.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.