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Finding the Fourth Proportional to 714.83, 986.52 and 400.15

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Solution

The fourth proportional to 714.83, 986.52 and 400.15 is: 552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.83 : 986.52 = 400.15 : x
  2. Step 2: Convert to fraction form
    714.83/986.52 = 400.15/x
  3. Step 3: Cross multiply
    714.83x = 986.52 × 400.15
  4. Step 4: Simplify right side
    714.83x = 394,757.29
  5. Step 5: Solve for x
    x = 394,757.29/714.83
  6. Step 6: Final answer
    x = 552.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.