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Finding the Fourth Proportional to 712.69, 983.74 and 417.95

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Solution

The fourth proportional to 712.69, 983.74 and 417.95 is: 576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 983.74 = 417.95 : x
  2. Step 2: Convert to fraction form
    712.69/983.74 = 417.95/x
  3. Step 3: Cross multiply
    712.69x = 983.74 × 417.95
  4. Step 4: Simplify right side
    712.69x = 411,149.21
  5. Step 5: Solve for x
    x = 411,149.21/712.69
  6. Step 6: Final answer
    x = 576.90

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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.