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Finding the Fourth Proportional to 822.97, 1,135.76 and 491.39

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Solution

The fourth proportional to 822.97, 1,135.76 and 491.39 is: 678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.97 : 1,135.76 = 491.39 : x
  2. Step 2: Convert to fraction form
    822.97/1,135.76 = 491.39/x
  3. Step 3: Cross multiply
    822.97x = 1,135.76 × 491.39
  4. Step 4: Simplify right side
    822.97x = 558,102.50
  5. Step 5: Solve for x
    x = 558,102.50/822.97
  6. Step 6: Final answer
    x = 678.15

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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.