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Finding the Fourth Proportional to 712.61, 983.06 and 463.84

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Solution

The fourth proportional to 712.61, 983.06 and 463.84 is: 639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.61 : 983.06 = 463.84 : x
  2. Step 2: Convert to fraction form
    712.61/983.06 = 463.84/x
  3. Step 3: Cross multiply
    712.61x = 983.06 × 463.84
  4. Step 4: Simplify right side
    712.61x = 455,981.25
  5. Step 5: Solve for x
    x = 455,981.25/712.61
  6. Step 6: Final answer
    x = 639.88

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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.