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Finding the Fourth Proportional to 977.21, 1,464.99 and 566.54

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Solution

The fourth proportional to 977.21, 1,464.99 and 566.54 is: 849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.21 : 1,464.99 = 566.54 : x
  2. Step 2: Convert to fraction form
    977.21/1,464.99 = 566.54/x
  3. Step 3: Cross multiply
    977.21x = 1,464.99 × 566.54
  4. Step 4: Simplify right side
    977.21x = 829,975.43
  5. Step 5: Solve for x
    x = 829,975.43/977.21
  6. Step 6: Final answer
    x = 849.33

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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.