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Finding the Fourth Proportional to 678.54, 1,017.99 and 386.49

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Solution

The fourth proportional to 678.54, 1,017.99 and 386.49 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 1,017.99 = 386.49 : x
  2. Step 2: Convert to fraction form
    678.54/1,017.99 = 386.49/x
  3. Step 3: Cross multiply
    678.54x = 1,017.99 × 386.49
  4. Step 4: Simplify right side
    678.54x = 393,442.96
  5. Step 5: Solve for x
    x = 393,442.96/678.54
  6. Step 6: Final answer
    x = 579.84

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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.