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Finding the Fourth Proportional to 706.54, 975.02 and 396.04

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Solution

The fourth proportional to 706.54, 975.02 and 396.04 is: 546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 975.02 = 396.04 : x
  2. Step 2: Convert to fraction form
    706.54/975.02 = 396.04/x
  3. Step 3: Cross multiply
    706.54x = 975.02 × 396.04
  4. Step 4: Simplify right side
    706.54x = 386,146.92
  5. Step 5: Solve for x
    x = 386,146.92/706.54
  6. Step 6: Final answer
    x = 546.53

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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.