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Finding the Fourth Proportional to 822.53, 1,134.99 and 491.04

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Solution

The fourth proportional to 822.53, 1,134.99 and 491.04 is: 677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.53 : 1,134.99 = 491.04 : x
  2. Step 2: Convert to fraction form
    822.53/1,134.99 = 491.04/x
  3. Step 3: Cross multiply
    822.53x = 1,134.99 × 491.04
  4. Step 4: Simplify right side
    822.53x = 557,325.49
  5. Step 5: Solve for x
    x = 557,325.49/822.53
  6. Step 6: Final answer
    x = 677.57

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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.