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Finding the Fourth Proportional to 712.84, 983.74 and 418.08

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Solution

The fourth proportional to 712.84, 983.74 and 418.08 is: 576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 983.74 = 418.08 : x
  2. Step 2: Convert to fraction form
    712.84/983.74 = 418.08/x
  3. Step 3: Cross multiply
    712.84x = 983.74 × 418.08
  4. Step 4: Simplify right side
    712.84x = 411,282.02
  5. Step 5: Solve for x
    x = 411,282.02/712.84
  6. Step 6: Final answer
    x = 576.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.