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Finding the Fourth Proportional to 978.05, 1,466.33 and 422.16

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Solution

The fourth proportional to 978.05, 1,466.33 and 422.16 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.05 : 1,466.33 = 422.16 : x
  2. Step 2: Convert to fraction form
    978.05/1,466.33 = 422.16/x
  3. Step 3: Cross multiply
    978.05x = 1,466.33 × 422.16
  4. Step 4: Simplify right side
    978.05x = 619,023.76
  5. Step 5: Solve for x
    x = 619,023.76/978.05
  6. Step 6: Final answer
    x = 632.92

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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.