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Finding the Fourth Proportional to 714.54, 986.10 and 434.62

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Solution

The fourth proportional to 714.54, 986.10 and 434.62 is: 599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.54 : 986.10 = 434.62 : x
  2. Step 2: Convert to fraction form
    714.54/986.10 = 434.62/x
  3. Step 3: Cross multiply
    714.54x = 986.10 × 434.62
  4. Step 4: Simplify right side
    714.54x = 428,578.78
  5. Step 5: Solve for x
    x = 428,578.78/714.54
  6. Step 6: Final answer
    x = 599.80

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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.