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Finding the Fourth Proportional to 840.29, 1,159.67 and 467.26

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Solution

The fourth proportional to 840.29, 1,159.67 and 467.26 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.29 : 1,159.67 = 467.26 : x
  2. Step 2: Convert to fraction form
    840.29/1,159.67 = 467.26/x
  3. Step 3: Cross multiply
    840.29x = 1,159.67 × 467.26
  4. Step 4: Simplify right side
    840.29x = 541,863.92
  5. Step 5: Solve for x
    x = 541,863.92/840.29
  6. Step 6: Final answer
    x = 644.86

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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.