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Finding the Fourth Proportional to 809.82, 1,117.80 and 547.83

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Solution

The fourth proportional to 809.82, 1,117.80 and 547.83 is: 756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,117.80 = 547.83 : x
  2. Step 2: Convert to fraction form
    809.82/1,117.80 = 547.83/x
  3. Step 3: Cross multiply
    809.82x = 1,117.80 × 547.83
  4. Step 4: Simplify right side
    809.82x = 612,364.37
  5. Step 5: Solve for x
    x = 612,364.37/809.82
  6. Step 6: Final answer
    x = 756.17

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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.