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Finding the Fourth Proportional to 851.71, 1,174.87 and 589.27

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Solution

The fourth proportional to 851.71, 1,174.87 and 589.27 is: 812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.71 : 1,174.87 = 589.27 : x
  2. Step 2: Convert to fraction form
    851.71/1,174.87 = 589.27/x
  3. Step 3: Cross multiply
    851.71x = 1,174.87 × 589.27
  4. Step 4: Simplify right side
    851.71x = 692,315.64
  5. Step 5: Solve for x
    x = 692,315.64/851.71
  6. Step 6: Final answer
    x = 812.85

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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.