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Finding the Fourth Proportional to 712.79, 983.33 and 417.94

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Solution

The fourth proportional to 712.79, 983.33 and 417.94 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.79 : 983.33 = 417.94 : x
  2. Step 2: Convert to fraction form
    712.79/983.33 = 417.94/x
  3. Step 3: Cross multiply
    712.79x = 983.33 × 417.94
  4. Step 4: Simplify right side
    712.79x = 410,968.02
  5. Step 5: Solve for x
    x = 410,968.02/712.79
  6. Step 6: Final answer
    x = 576.56

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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.