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Finding the Fourth Proportional to 714.12, 985.08 and 451.68

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Solution

The fourth proportional to 714.12, 985.08 and 451.68 is: 623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.12 : 985.08 = 451.68 : x
  2. Step 2: Convert to fraction form
    714.12/985.08 = 451.68/x
  3. Step 3: Cross multiply
    714.12x = 985.08 × 451.68
  4. Step 4: Simplify right side
    714.12x = 444,940.93
  5. Step 5: Solve for x
    x = 444,940.93/714.12
  6. Step 6: Final answer
    x = 623.06

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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.