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Finding the Fourth Proportional to 714.93, 986.64 and 400.26

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Solution

The fourth proportional to 714.93, 986.64 and 400.26 is: 552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.93 : 986.64 = 400.26 : x
  2. Step 2: Convert to fraction form
    714.93/986.64 = 400.26/x
  3. Step 3: Cross multiply
    714.93x = 986.64 × 400.26
  4. Step 4: Simplify right side
    714.93x = 394,912.53
  5. Step 5: Solve for x
    x = 394,912.53/714.93
  6. Step 6: Final answer
    x = 552.38

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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.