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Finding the Fourth Proportional to 712.60, 983.84 and 546.50

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Solution

The fourth proportional to 712.60, 983.84 and 546.50 is: 754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.84 = 546.50 : x
  2. Step 2: Convert to fraction form
    712.60/983.84 = 546.50/x
  3. Step 3: Cross multiply
    712.60x = 983.84 × 546.50
  4. Step 4: Simplify right side
    712.60x = 537,660.91
  5. Step 5: Solve for x
    x = 537,660.91/712.60
  6. Step 6: Final answer
    x = 754.51

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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.