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Finding the Fourth Proportional to 977.72, 1,466.61 and 544.54

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Solution

The fourth proportional to 977.72, 1,466.61 and 544.54 is: 816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,466.61 = 544.54 : x
  2. Step 2: Convert to fraction form
    977.72/1,466.61 = 544.54/x
  3. Step 3: Cross multiply
    977.72x = 1,466.61 × 544.54
  4. Step 4: Simplify right side
    977.72x = 798,627.81
  5. Step 5: Solve for x
    x = 798,627.81/977.72
  6. Step 6: Final answer
    x = 816.83

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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.