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Finding the Fourth Proportional to 706.92, 975.45 and 392.14

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Solution

The fourth proportional to 706.92, 975.45 and 392.14 is: 541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 975.45 = 392.14 : x
  2. Step 2: Convert to fraction form
    706.92/975.45 = 392.14/x
  3. Step 3: Cross multiply
    706.92x = 975.45 × 392.14
  4. Step 4: Simplify right side
    706.92x = 382,512.96
  5. Step 5: Solve for x
    x = 382,512.96/706.92
  6. Step 6: Final answer
    x = 541.10

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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.