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Finding the Fourth Proportional to 851.53, 1,277.52 and 678.85

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Solution

The fourth proportional to 851.53, 1,277.52 and 678.85 is: 1,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.53 : 1,277.52 = 678.85 : x
  2. Step 2: Convert to fraction form
    851.53/1,277.52 = 678.85/x
  3. Step 3: Cross multiply
    851.53x = 1,277.52 × 678.85
  4. Step 4: Simplify right side
    851.53x = 867,234.67
  5. Step 5: Solve for x
    x = 867,234.67/851.53
  6. Step 6: Final answer
    x = 1,018.45

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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.