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Finding the Fourth Proportional to 714.85, 986.49 and 400.12

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Solution

The fourth proportional to 714.85, 986.49 and 400.12 is: 552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.85 : 986.49 = 400.12 : x
  2. Step 2: Convert to fraction form
    714.85/986.49 = 400.12/x
  3. Step 3: Cross multiply
    714.85x = 986.49 × 400.12
  4. Step 4: Simplify right side
    714.85x = 394,711.91
  5. Step 5: Solve for x
    x = 394,711.91/714.85
  6. Step 6: Final answer
    x = 552.16

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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.