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Finding the Fourth Proportional to 840.33, 1,159.64 and 467.30

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Solution

The fourth proportional to 840.33, 1,159.64 and 467.30 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.33 : 1,159.64 = 467.30 : x
  2. Step 2: Convert to fraction form
    840.33/1,159.64 = 467.30/x
  3. Step 3: Cross multiply
    840.33x = 1,159.64 × 467.30
  4. Step 4: Simplify right side
    840.33x = 541,895.14
  5. Step 5: Solve for x
    x = 541,895.14/840.33
  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.