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Finding the Fourth Proportional to 678.78, 1,018.98 and 354.78

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Solution

The fourth proportional to 678.78, 1,018.98 and 354.78 is: 532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 1,018.98 = 354.78 : x
  2. Step 2: Convert to fraction form
    678.78/1,018.98 = 354.78/x
  3. Step 3: Cross multiply
    678.78x = 1,018.98 × 354.78
  4. Step 4: Simplify right side
    678.78x = 361,513.72
  5. Step 5: Solve for x
    x = 361,513.72/678.78
  6. Step 6: Final answer
    x = 532.59

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