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Finding the Fourth Proportional to 714.39, 985.65 and 452.34

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Solution

The fourth proportional to 714.39, 985.65 and 452.34 is: 624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.39 : 985.65 = 452.34 : x
  2. Step 2: Convert to fraction form
    714.39/985.65 = 452.34/x
  3. Step 3: Cross multiply
    714.39x = 985.65 × 452.34
  4. Step 4: Simplify right side
    714.39x = 445,848.92
  5. Step 5: Solve for x
    x = 445,848.92/714.39
  6. Step 6: Final answer
    x = 624.10

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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.