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Finding the Fourth Proportional to 847.40, 1,269.47 and 573.21

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Solution

The fourth proportional to 847.40, 1,269.47 and 573.21 is: 858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.40 : 1,269.47 = 573.21 : x
  2. Step 2: Convert to fraction form
    847.40/1,269.47 = 573.21/x
  3. Step 3: Cross multiply
    847.40x = 1,269.47 × 573.21
  4. Step 4: Simplify right side
    847.40x = 727,674.33
  5. Step 5: Solve for x
    x = 727,674.33/847.40
  6. Step 6: Final answer
    x = 858.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.