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Finding the Fourth Proportional to 706.77, 975.34 and 392.09

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Solution

The fourth proportional to 706.77, 975.34 and 392.09 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.77 : 975.34 = 392.09 : x
  2. Step 2: Convert to fraction form
    706.77/975.34 = 392.09/x
  3. Step 3: Cross multiply
    706.77x = 975.34 × 392.09
  4. Step 4: Simplify right side
    706.77x = 382,416.18
  5. Step 5: Solve for x
    x = 382,416.18/706.77
  6. Step 6: Final answer
    x = 541.08

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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.