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Finding the Fourth Proportional to 978.40, 1,467.60 and 962.20

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Solution

The fourth proportional to 978.40, 1,467.60 and 962.20 is: 1,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.40 : 1,467.60 = 962.20 : x
  2. Step 2: Convert to fraction form
    978.40/1,467.60 = 962.20/x
  3. Step 3: Cross multiply
    978.40x = 1,467.60 × 962.20
  4. Step 4: Simplify right side
    978.40x = 1,412,124.72
  5. Step 5: Solve for x
    x = 1,412,124.72/978.40
  6. Step 6: Final answer
    x = 1,443.30

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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.