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Finding the Fourth Proportional to 678.78, 1,018.48 and 390.24

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Solution

The fourth proportional to 678.78, 1,018.48 and 390.24 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 1,018.48 = 390.24 : x
  2. Step 2: Convert to fraction form
    678.78/1,018.48 = 390.24/x
  3. Step 3: Cross multiply
    678.78x = 1,018.48 × 390.24
  4. Step 4: Simplify right side
    678.78x = 397,451.64
  5. Step 5: Solve for x
    x = 397,451.64/678.78
  6. Step 6: Final answer
    x = 585.54

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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.