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Finding the Fourth Proportional to 706.18, 974.53 and 411.47

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Solution

The fourth proportional to 706.18, 974.53 and 411.47 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.18 : 974.53 = 411.47 : x
  2. Step 2: Convert to fraction form
    706.18/974.53 = 411.47/x
  3. Step 3: Cross multiply
    706.18x = 974.53 × 411.47
  4. Step 4: Simplify right side
    706.18x = 400,989.86
  5. Step 5: Solve for x
    x = 400,989.86/706.18
  6. Step 6: Final answer
    x = 567.83

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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.