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Finding the Fourth Proportional to 663.26, 914.67 and 513.65

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Solution

The fourth proportional to 663.26, 914.67 and 513.65 is: 708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.26 : 914.67 = 513.65 : x
  2. Step 2: Convert to fraction form
    663.26/914.67 = 513.65/x
  3. Step 3: Cross multiply
    663.26x = 914.67 × 513.65
  4. Step 4: Simplify right side
    663.26x = 469,820.25
  5. Step 5: Solve for x
    x = 469,820.25/663.26
  6. Step 6: Final answer
    x = 708.35

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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.