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Finding the Fourth Proportional to 840.93, 1,262.09 and 354.31

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Solution

The fourth proportional to 840.93, 1,262.09 and 354.31 is: 531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.93 : 1,262.09 = 354.31 : x
  2. Step 2: Convert to fraction form
    840.93/1,262.09 = 354.31/x
  3. Step 3: Cross multiply
    840.93x = 1,262.09 × 354.31
  4. Step 4: Simplify right side
    840.93x = 447,171.11
  5. Step 5: Solve for x
    x = 447,171.11/840.93
  6. Step 6: Final answer
    x = 531.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.