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Finding the Fourth Proportional to 706.14, 974.05 and 509.42

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Solution

The fourth proportional to 706.14, 974.05 and 509.42 is: 702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.14 : 974.05 = 509.42 : x
  2. Step 2: Convert to fraction form
    706.14/974.05 = 509.42/x
  3. Step 3: Cross multiply
    706.14x = 974.05 × 509.42
  4. Step 4: Simplify right side
    706.14x = 496,200.55
  5. Step 5: Solve for x
    x = 496,200.55/706.14
  6. Step 6: Final answer
    x = 702.69

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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.