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Finding the Fourth Proportional to 713.06, 984.47 and 546.96

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Solution

The fourth proportional to 713.06, 984.47 and 546.96 is: 755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.06 : 984.47 = 546.96 : x
  2. Step 2: Convert to fraction form
    713.06/984.47 = 546.96/x
  3. Step 3: Cross multiply
    713.06x = 984.47 × 546.96
  4. Step 4: Simplify right side
    713.06x = 538,465.71
  5. Step 5: Solve for x
    x = 538,465.71/713.06
  6. Step 6: Final answer
    x = 755.15

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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.