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Finding the Fourth Proportional to 840.64, 1,160.27 and 467.75

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Solution

The fourth proportional to 840.64, 1,160.27 and 467.75 is: 645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.64 : 1,160.27 = 467.75 : x
  2. Step 2: Convert to fraction form
    840.64/1,160.27 = 467.75/x
  3. Step 3: Cross multiply
    840.64x = 1,160.27 × 467.75
  4. Step 4: Simplify right side
    840.64x = 542,716.29
  5. Step 5: Solve for x
    x = 542,716.29/840.64
  6. Step 6: Final answer
    x = 645.60

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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.