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Finding the Fourth Proportional to 711.98, 982.29 and 463.63

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Solution

The fourth proportional to 711.98, 982.29 and 463.63 is: 639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.98 : 982.29 = 463.63 : x
  2. Step 2: Convert to fraction form
    711.98/982.29 = 463.63/x
  3. Step 3: Cross multiply
    711.98x = 982.29 × 463.63
  4. Step 4: Simplify right side
    711.98x = 455,419.11
  5. Step 5: Solve for x
    x = 455,419.11/711.98
  6. Step 6: Final answer
    x = 639.65

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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.