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Finding the Fourth Proportional to 977.56, 1,466.24 and 247.09

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Solution

The fourth proportional to 977.56, 1,466.24 and 247.09 is: 370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,466.24 = 247.09 : x
  2. Step 2: Convert to fraction form
    977.56/1,466.24 = 247.09/x
  3. Step 3: Cross multiply
    977.56x = 1,466.24 × 247.09
  4. Step 4: Simplify right side
    977.56x = 362,292.01
  5. Step 5: Solve for x
    x = 362,292.01/977.56
  6. Step 6: Final answer
    x = 370.61

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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.