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Finding the Fourth Proportional to 678.74, 1,018.24 and 245.92

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Solution

The fourth proportional to 678.74, 1,018.24 and 245.92 is: 368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.74 : 1,018.24 = 245.92 : x
  2. Step 2: Convert to fraction form
    678.74/1,018.24 = 245.92/x
  3. Step 3: Cross multiply
    678.74x = 1,018.24 × 245.92
  4. Step 4: Simplify right side
    678.74x = 250,405.58
  5. Step 5: Solve for x
    x = 250,405.58/678.74
  6. Step 6: Final answer
    x = 368.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.