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Finding the Fourth Proportional to 809.61, 1,117.19 and 494.76

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Solution

The fourth proportional to 809.61, 1,117.19 and 494.76 is: 682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.61 : 1,117.19 = 494.76 : x
  2. Step 2: Convert to fraction form
    809.61/1,117.19 = 494.76/x
  3. Step 3: Cross multiply
    809.61x = 1,117.19 × 494.76
  4. Step 4: Simplify right side
    809.61x = 552,740.92
  5. Step 5: Solve for x
    x = 552,740.92/809.61
  6. Step 6: Final answer
    x = 682.73

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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.