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Finding the Fourth Proportional to 978.60, 1,467.63 and 401.34

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Solution

The fourth proportional to 978.60, 1,467.63 and 401.34 is: 601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.60 : 1,467.63 = 401.34 : x
  2. Step 2: Convert to fraction form
    978.60/1,467.63 = 401.34/x
  3. Step 3: Cross multiply
    978.60x = 1,467.63 × 401.34
  4. Step 4: Simplify right side
    978.60x = 589,018.62
  5. Step 5: Solve for x
    x = 589,018.62/978.60
  6. Step 6: Final answer
    x = 601.90

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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.