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Finding the Fourth Proportional to 712.53, 982.71 and 463.95

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Solution

The fourth proportional to 712.53, 982.71 and 463.95 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 982.71 = 463.95 : x
  2. Step 2: Convert to fraction form
    712.53/982.71 = 463.95/x
  3. Step 3: Cross multiply
    712.53x = 982.71 × 463.95
  4. Step 4: Simplify right side
    712.53x = 455,928.30
  5. Step 5: Solve for x
    x = 455,928.30/712.53
  6. Step 6: Final answer
    x = 639.87

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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.