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Finding the Fourth Proportional to 822.60, 1,135.34 and 491.31

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Solution

The fourth proportional to 822.60, 1,135.34 and 491.31 is: 678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.60 : 1,135.34 = 491.31 : x
  2. Step 2: Convert to fraction form
    822.60/1,135.34 = 491.31/x
  3. Step 3: Cross multiply
    822.60x = 1,135.34 × 491.31
  4. Step 4: Simplify right side
    822.60x = 557,795.76
  5. Step 5: Solve for x
    x = 557,795.76/822.60
  6. Step 6: Final answer
    x = 678.09

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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.