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Finding the Fourth Proportional to 713.02, 982.78 and 546.97

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Solution

The fourth proportional to 713.02, 982.78 and 546.97 is: 753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.02 : 982.78 = 546.97 : x
  2. Step 2: Convert to fraction form
    713.02/982.78 = 546.97/x
  3. Step 3: Cross multiply
    713.02x = 982.78 × 546.97
  4. Step 4: Simplify right side
    713.02x = 537,551.18
  5. Step 5: Solve for x
    x = 537,551.18/713.02
  6. Step 6: Final answer
    x = 753.91

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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.