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Finding the Fourth Proportional to 711.93, 981.90 and 463.33

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Solution

The fourth proportional to 711.93, 981.90 and 463.33 is: 639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.93 : 981.90 = 463.33 : x
  2. Step 2: Convert to fraction form
    711.93/981.90 = 463.33/x
  3. Step 3: Cross multiply
    711.93x = 981.90 × 463.33
  4. Step 4: Simplify right side
    711.93x = 454,943.73
  5. Step 5: Solve for x
    x = 454,943.73/711.93
  6. Step 6: Final answer
    x = 639.03

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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.