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Finding the Fourth Proportional to 809.20, 1,115.58 and 678.16

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Solution

The fourth proportional to 809.20, 1,115.58 and 678.16 is: 934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.20 : 1,115.58 = 678.16 : x
  2. Step 2: Convert to fraction form
    809.20/1,115.58 = 678.16/x
  3. Step 3: Cross multiply
    809.20x = 1,115.58 × 678.16
  4. Step 4: Simplify right side
    809.20x = 756,541.73
  5. Step 5: Solve for x
    x = 756,541.73/809.20
  6. Step 6: Final answer
    x = 934.93

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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.