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Finding the Fourth Proportional to 665.74, 997.26 and 456.85

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Solution

The fourth proportional to 665.74, 997.26 and 456.85 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.74 : 997.26 = 456.85 : x
  2. Step 2: Convert to fraction form
    665.74/997.26 = 456.85/x
  3. Step 3: Cross multiply
    665.74x = 997.26 × 456.85
  4. Step 4: Simplify right side
    665.74x = 455,598.23
  5. Step 5: Solve for x
    x = 455,598.23/665.74
  6. Step 6: Final answer
    x = 684.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.