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Finding the Fourth Proportional to 712.71, 981.57 and 614.43

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Solution

The fourth proportional to 712.71, 981.57 and 614.43 is: 846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 981.57 = 614.43 : x
  2. Step 2: Convert to fraction form
    712.71/981.57 = 614.43/x
  3. Step 3: Cross multiply
    712.71x = 981.57 × 614.43
  4. Step 4: Simplify right side
    712.71x = 603,106.06
  5. Step 5: Solve for x
    x = 603,106.06/712.71
  6. Step 6: Final answer
    x = 846.22

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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.