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Finding the Fourth Proportional to 713.94, 985.08 and 434.09

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Solution

The fourth proportional to 713.94, 985.08 and 434.09 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 985.08 = 434.09 : x
  2. Step 2: Convert to fraction form
    713.94/985.08 = 434.09/x
  3. Step 3: Cross multiply
    713.94x = 985.08 × 434.09
  4. Step 4: Simplify right side
    713.94x = 427,608.45
  5. Step 5: Solve for x
    x = 427,608.45/713.94
  6. Step 6: Final answer
    x = 598.94

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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.