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Finding the Fourth Proportional to 840.16, 1,159.31 and 467.09

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Solution

The fourth proportional to 840.16, 1,159.31 and 467.09 is: 644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.16 : 1,159.31 = 467.09 : x
  2. Step 2: Convert to fraction form
    840.16/1,159.31 = 467.09/x
  3. Step 3: Cross multiply
    840.16x = 1,159.31 × 467.09
  4. Step 4: Simplify right side
    840.16x = 541,502.11
  5. Step 5: Solve for x
    x = 541,502.11/840.16
  6. Step 6: Final answer
    x = 644.52

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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.