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Finding the Fourth Proportional to 712.68, 1,074.15 and 684.52

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Solution

The fourth proportional to 712.68, 1,074.15 and 684.52 is: 1,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.68 : 1,074.15 = 684.52 : x
  2. Step 2: Convert to fraction form
    712.68/1,074.15 = 684.52/x
  3. Step 3: Cross multiply
    712.68x = 1,074.15 × 684.52
  4. Step 4: Simplify right side
    712.68x = 735,277.16
  5. Step 5: Solve for x
    x = 735,277.16/712.68
  6. Step 6: Final answer
    x = 1,031.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.