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Finding the Fourth Proportional to 712.46, 983.64 and 546.35

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Solution

The fourth proportional to 712.46, 983.64 and 546.35 is: 754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.46 : 983.64 = 546.35 : x
  2. Step 2: Convert to fraction form
    712.46/983.64 = 546.35/x
  3. Step 3: Cross multiply
    712.46x = 983.64 × 546.35
  4. Step 4: Simplify right side
    712.46x = 537,412.12
  5. Step 5: Solve for x
    x = 537,412.12/712.46
  6. Step 6: Final answer
    x = 754.31

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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.