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Finding the Fourth Proportional to 706.54, 975.13 and 411.75

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Solution

The fourth proportional to 706.54, 975.13 and 411.75 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 975.13 = 411.75 : x
  2. Step 2: Convert to fraction form
    706.54/975.13 = 411.75/x
  3. Step 3: Cross multiply
    706.54x = 975.13 × 411.75
  4. Step 4: Simplify right side
    706.54x = 401,506.66
  5. Step 5: Solve for x
    x = 401,506.66/706.54
  6. Step 6: Final answer
    x = 568.28

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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.