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Finding the Fourth Proportional to 977.10, 1,466.01 and 399.84

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Solution

The fourth proportional to 977.10, 1,466.01 and 399.84 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.10 : 1,466.01 = 399.84 : x
  2. Step 2: Convert to fraction form
    977.10/1,466.01 = 399.84/x
  3. Step 3: Cross multiply
    977.10x = 1,466.01 × 399.84
  4. Step 4: Simplify right side
    977.10x = 586,169.44
  5. Step 5: Solve for x
    x = 586,169.44/977.10
  6. Step 6: Final answer
    x = 599.91

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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.