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Finding the Fourth Proportional to 714.35, 985.82 and 399.65

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Solution

The fourth proportional to 714.35, 985.82 and 399.65 is: 551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.35 : 985.82 = 399.65 : x
  2. Step 2: Convert to fraction form
    714.35/985.82 = 399.65/x
  3. Step 3: Cross multiply
    714.35x = 985.82 × 399.65
  4. Step 4: Simplify right side
    714.35x = 393,976.04
  5. Step 5: Solve for x
    x = 393,976.04/714.35
  6. Step 6: Final answer
    x = 551.52

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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.