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Finding the Fourth Proportional to 809.66, 1,116.81 and 478.06

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Solution

The fourth proportional to 809.66, 1,116.81 and 478.06 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.66 : 1,116.81 = 478.06 : x
  2. Step 2: Convert to fraction form
    809.66/1,116.81 = 478.06/x
  3. Step 3: Cross multiply
    809.66x = 1,116.81 × 478.06
  4. Step 4: Simplify right side
    809.66x = 533,904.58
  5. Step 5: Solve for x
    x = 533,904.58/809.66
  6. Step 6: Final answer
    x = 659.42

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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.