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Finding the Fourth Proportional to 816.17, 1,127.25 and 537.65

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Solution

The fourth proportional to 816.17, 1,127.25 and 537.65 is: 742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.17 : 1,127.25 = 537.65 : x
  2. Step 2: Convert to fraction form
    816.17/1,127.25 = 537.65/x
  3. Step 3: Cross multiply
    816.17x = 1,127.25 × 537.65
  4. Step 4: Simplify right side
    816.17x = 606,057.64
  5. Step 5: Solve for x
    x = 606,057.64/816.17
  6. Step 6: Final answer
    x = 742.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.