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Finding the Fourth Proportional to 704.68, 972.81 and 546.96

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Solution

The fourth proportional to 704.68, 972.81 and 546.96 is: 755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.68 : 972.81 = 546.96 : x
  2. Step 2: Convert to fraction form
    704.68/972.81 = 546.96/x
  3. Step 3: Cross multiply
    704.68x = 972.81 × 546.96
  4. Step 4: Simplify right side
    704.68x = 532,091.81
  5. Step 5: Solve for x
    x = 532,091.81/704.68
  6. Step 6: Final answer
    x = 755.09

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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.