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Finding the Fourth Proportional to 809.14, 1,116.56 and 547.24

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Solution

The fourth proportional to 809.14, 1,116.56 and 547.24 is: 755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.14 : 1,116.56 = 547.24 : x
  2. Step 2: Convert to fraction form
    809.14/1,116.56 = 547.24/x
  3. Step 3: Cross multiply
    809.14x = 1,116.56 × 547.24
  4. Step 4: Simplify right side
    809.14x = 611,026.29
  5. Step 5: Solve for x
    x = 611,026.29/809.14
  6. Step 6: Final answer
    x = 755.16

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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.