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Finding the Fourth Proportional to 851.70, 1,277.55 and 645.15

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Solution

The fourth proportional to 851.70, 1,277.55 and 645.15 is: 967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.70 : 1,277.55 = 645.15 : x
  2. Step 2: Convert to fraction form
    851.70/1,277.55 = 645.15/x
  3. Step 3: Cross multiply
    851.70x = 1,277.55 × 645.15
  4. Step 4: Simplify right side
    851.70x = 824,211.38
  5. Step 5: Solve for x
    x = 824,211.38/851.70
  6. Step 6: Final answer
    x = 967.73

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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.