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Finding the Fourth Proportional to 977.44, 1,466.15 and 399.91

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Solution

The fourth proportional to 977.44, 1,466.15 and 399.91 is: 599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.44 : 1,466.15 = 399.91 : x
  2. Step 2: Convert to fraction form
    977.44/1,466.15 = 399.91/x
  3. Step 3: Cross multiply
    977.44x = 1,466.15 × 399.91
  4. Step 4: Simplify right side
    977.44x = 586,328.05
  5. Step 5: Solve for x
    x = 586,328.05/977.44
  6. Step 6: Final answer
    x = 599.86

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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.