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Finding the Fourth Proportional to 678.60, 1,018.14 and 354.24

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Solution

The fourth proportional to 678.60, 1,018.14 and 354.24 is: 531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.60 : 1,018.14 = 354.24 : x
  2. Step 2: Convert to fraction form
    678.60/1,018.14 = 354.24/x
  3. Step 3: Cross multiply
    678.60x = 1,018.14 × 354.24
  4. Step 4: Simplify right side
    678.60x = 360,665.91
  5. Step 5: Solve for x
    x = 360,665.91/678.60
  6. Step 6: Final answer
    x = 531.49

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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.