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Finding the Fourth Proportional to 714.92, 984.26 and 611.24

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Solution

The fourth proportional to 714.92, 984.26 and 611.24 is: 841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 984.26 = 611.24 : x
  2. Step 2: Convert to fraction form
    714.92/984.26 = 611.24/x
  3. Step 3: Cross multiply
    714.92x = 984.26 × 611.24
  4. Step 4: Simplify right side
    714.92x = 601,619.08
  5. Step 5: Solve for x
    x = 601,619.08/714.92
  6. Step 6: Final answer
    x = 841.52

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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.