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Finding the Fourth Proportional to 851.22, 1,277.00 and 389.07

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Solution

The fourth proportional to 851.22, 1,277.00 and 389.07 is: 583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.22 : 1,277.00 = 389.07 : x
  2. Step 2: Convert to fraction form
    851.22/1,277.00 = 389.07/x
  3. Step 3: Cross multiply
    851.22x = 1,277.00 × 389.07
  4. Step 4: Simplify right side
    851.22x = 496,838.16
  5. Step 5: Solve for x
    x = 496,838.16/851.22
  6. Step 6: Final answer
    x = 583.68

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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.