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Finding the Fourth Proportional to 714.81, 986.34 and 400.04

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Solution

The fourth proportional to 714.81, 986.34 and 400.04 is: 551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.81 : 986.34 = 400.04 : x
  2. Step 2: Convert to fraction form
    714.81/986.34 = 400.04/x
  3. Step 3: Cross multiply
    714.81x = 986.34 × 400.04
  4. Step 4: Simplify right side
    714.81x = 394,570.52
  5. Step 5: Solve for x
    x = 394,570.52/714.81
  6. Step 6: Final answer
    x = 551.99

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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.