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Finding the Fourth Proportional to 714.30, 984.84 and 451.86

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Solution

The fourth proportional to 714.30, 984.84 and 451.86 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.30 : 984.84 = 451.86 : x
  2. Step 2: Convert to fraction form
    714.30/984.84 = 451.86/x
  3. Step 3: Cross multiply
    714.30x = 984.84 × 451.86
  4. Step 4: Simplify right side
    714.30x = 445,009.80
  5. Step 5: Solve for x
    x = 445,009.80/714.30
  6. Step 6: Final answer
    x = 623.00

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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.