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Finding the Fourth Proportional to 706.82, 975.41 and 392.08

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Solution

The fourth proportional to 706.82, 975.41 and 392.08 is: 541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.82 : 975.41 = 392.08 : x
  2. Step 2: Convert to fraction form
    706.82/975.41 = 392.08/x
  3. Step 3: Cross multiply
    706.82x = 975.41 × 392.08
  4. Step 4: Simplify right side
    706.82x = 382,438.75
  5. Step 5: Solve for x
    x = 382,438.75/706.82
  6. Step 6: Final answer
    x = 541.07

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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.