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Finding the Fourth Proportional to 651.05, 977.09 and 574.17

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Solution

The fourth proportional to 651.05, 977.09 and 574.17 is: 861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.05 : 977.09 = 574.17 : x
  2. Step 2: Convert to fraction form
    651.05/977.09 = 574.17/x
  3. Step 3: Cross multiply
    651.05x = 977.09 × 574.17
  4. Step 4: Simplify right side
    651.05x = 561,015.77
  5. Step 5: Solve for x
    x = 561,015.77/651.05
  6. Step 6: Final answer
    x = 861.71

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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.