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Finding the Fourth Proportional to 706.57, 975.10 and 391.87

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Solution

The fourth proportional to 706.57, 975.10 and 391.87 is: 540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.57 : 975.10 = 391.87 : x
  2. Step 2: Convert to fraction form
    706.57/975.10 = 391.87/x
  3. Step 3: Cross multiply
    706.57x = 975.10 × 391.87
  4. Step 4: Simplify right side
    706.57x = 382,109.02
  5. Step 5: Solve for x
    x = 382,109.02/706.57
  6. Step 6: Final answer
    x = 540.80

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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.