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Finding the Fourth Proportional to 714.34, 985.79 and 399.60

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Solution

The fourth proportional to 714.34, 985.79 and 399.60 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.34 : 985.79 = 399.60 : x
  2. Step 2: Convert to fraction form
    714.34/985.79 = 399.60/x
  3. Step 3: Cross multiply
    714.34x = 985.79 × 399.60
  4. Step 4: Simplify right side
    714.34x = 393,922.15
  5. Step 5: Solve for x
    x = 393,922.15/714.34
  6. Step 6: Final answer
    x = 551.45

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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.