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Finding the Fourth Proportional to 978.16, 1,467.44 and 401.08

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Solution

The fourth proportional to 978.16, 1,467.44 and 401.08 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.16 : 1,467.44 = 401.08 : x
  2. Step 2: Convert to fraction form
    978.16/1,467.44 = 401.08/x
  3. Step 3: Cross multiply
    978.16x = 1,467.44 × 401.08
  4. Step 4: Simplify right side
    978.16x = 588,560.84
  5. Step 5: Solve for x
    x = 588,560.84/978.16
  6. Step 6: Final answer
    x = 601.70

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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.