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Finding the Fourth Proportional to 977.01, 1,466.06 and 399.75

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Solution

The fourth proportional to 977.01, 1,466.06 and 399.75 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.01 : 1,466.06 = 399.75 : x
  2. Step 2: Convert to fraction form
    977.01/1,466.06 = 399.75/x
  3. Step 3: Cross multiply
    977.01x = 1,466.06 × 399.75
  4. Step 4: Simplify right side
    977.01x = 586,055.49
  5. Step 5: Solve for x
    x = 586,055.49/977.01
  6. Step 6: Final answer
    x = 599.85

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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.