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Finding the Fourth Proportional to 706.87, 975.46 and 392.13

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Solution

The fourth proportional to 706.87, 975.46 and 392.13 is: 541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.87 : 975.46 = 392.13 : x
  2. Step 2: Convert to fraction form
    706.87/975.46 = 392.13/x
  3. Step 3: Cross multiply
    706.87x = 975.46 × 392.13
  4. Step 4: Simplify right side
    706.87x = 382,507.13
  5. Step 5: Solve for x
    x = 382,507.13/706.87
  6. Step 6: Final answer
    x = 541.13

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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.