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Finding the Fourth Proportional to 840, 1,159.23 and 467.05

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Solution

The fourth proportional to 840, 1,159.23 and 467.05 is: 644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,159.23 = 467.05 : x
  2. Step 2: Convert to fraction form
    840/1,159.23 = 467.05/x
  3. Step 3: Cross multiply
    840x = 1,159.23 × 467.05
  4. Step 4: Simplify right side
    840x = 541,416.04
  5. Step 5: Solve for x
    x = 541,416.04/840
  6. Step 6: Final answer
    x = 644.54

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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.