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Finding the Fourth Proportional to 816.82, 1,126.90 and 537.21

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Solution

The fourth proportional to 816.82, 1,126.90 and 537.21 is: 741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.82 : 1,126.90 = 537.21 : x
  2. Step 2: Convert to fraction form
    816.82/1,126.90 = 537.21/x
  3. Step 3: Cross multiply
    816.82x = 1,126.90 × 537.21
  4. Step 4: Simplify right side
    816.82x = 605,381.95
  5. Step 5: Solve for x
    x = 605,381.95/816.82
  6. Step 6: Final answer
    x = 741.14

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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.