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Finding the Fourth Proportional to 713.84, 984.86 and 433.99

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Solution

The fourth proportional to 713.84, 984.86 and 433.99 is: 598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.84 : 984.86 = 433.99 : x
  2. Step 2: Convert to fraction form
    713.84/984.86 = 433.99/x
  3. Step 3: Cross multiply
    713.84x = 984.86 × 433.99
  4. Step 4: Simplify right side
    713.84x = 427,412.30
  5. Step 5: Solve for x
    x = 427,412.30/713.84
  6. Step 6: Final answer
    x = 598.75

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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.