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Finding the Fourth Proportional to 978.17, 1,466.21 and 607.97

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Solution

The fourth proportional to 978.17, 1,466.21 and 607.97 is: 911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.17 : 1,466.21 = 607.97 : x
  2. Step 2: Convert to fraction form
    978.17/1,466.21 = 607.97/x
  3. Step 3: Cross multiply
    978.17x = 1,466.21 × 607.97
  4. Step 4: Simplify right side
    978.17x = 891,416.88
  5. Step 5: Solve for x
    x = 891,416.88/978.17
  6. Step 6: Final answer
    x = 911.32

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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.