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Finding the Fourth Proportional to 840.82, 1,160.42 and 491.50

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Solution

The fourth proportional to 840.82, 1,160.42 and 491.50 is: 678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.82 : 1,160.42 = 491.50 : x
  2. Step 2: Convert to fraction form
    840.82/1,160.42 = 491.50/x
  3. Step 3: Cross multiply
    840.82x = 1,160.42 × 491.50
  4. Step 4: Simplify right side
    840.82x = 570,346.43
  5. Step 5: Solve for x
    x = 570,346.43/840.82
  6. Step 6: Final answer
    x = 678.32

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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.