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Finding the Fourth Proportional to 977.82, 1,466.50 and 284.30

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Solution

The fourth proportional to 977.82, 1,466.50 and 284.30 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.82 : 1,466.50 = 284.30 : x
  2. Step 2: Convert to fraction form
    977.82/1,466.50 = 284.30/x
  3. Step 3: Cross multiply
    977.82x = 1,466.50 × 284.30
  4. Step 4: Simplify right side
    977.82x = 416,928.91
  5. Step 5: Solve for x
    x = 416,928.91/977.82
  6. Step 6: Final answer
    x = 426.39

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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.