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Finding the Fourth Proportional to 711.63, 981.54 and 462.49

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Solution

The fourth proportional to 711.63, 981.54 and 462.49 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.63 : 981.54 = 462.49 : x
  2. Step 2: Convert to fraction form
    711.63/981.54 = 462.49/x
  3. Step 3: Cross multiply
    711.63x = 981.54 × 462.49
  4. Step 4: Simplify right side
    711.63x = 453,947.53
  5. Step 5: Solve for x
    x = 453,947.53/711.63
  6. Step 6: Final answer
    x = 637.90

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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.