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Finding the Fourth Proportional to 678.32, 1,017.80 and 418.62

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Solution

The fourth proportional to 678.32, 1,017.80 and 418.62 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.32 : 1,017.80 = 418.62 : x
  2. Step 2: Convert to fraction form
    678.32/1,017.80 = 418.62/x
  3. Step 3: Cross multiply
    678.32x = 1,017.80 × 418.62
  4. Step 4: Simplify right side
    678.32x = 426,071.44
  5. Step 5: Solve for x
    x = 426,071.44/678.32
  6. Step 6: Final answer
    x = 628.13

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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.