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Finding the Fourth Proportional to 851.19, 1,174.34 and 556.63

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Solution

The fourth proportional to 851.19, 1,174.34 and 556.63 is: 767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.19 : 1,174.34 = 556.63 : x
  2. Step 2: Convert to fraction form
    851.19/1,174.34 = 556.63/x
  3. Step 3: Cross multiply
    851.19x = 1,174.34 × 556.63
  4. Step 4: Simplify right side
    851.19x = 653,672.87
  5. Step 5: Solve for x
    x = 653,672.87/851.19
  6. Step 6: Final answer
    x = 767.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.