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Finding the Fourth Proportional to 1,267.44, 1,900.33 and 526.85

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Solution

The fourth proportional to 1,267.44, 1,900.33 and 526.85 is: 789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.44 : 1,900.33 = 526.85 : x
  2. Step 2: Convert to fraction form
    1,267.44/1,900.33 = 526.85/x
  3. Step 3: Cross multiply
    1,267.44x = 1,900.33 × 526.85
  4. Step 4: Simplify right side
    1,267.44x = 1,001,188.86
  5. Step 5: Solve for x
    x = 1,001,188.86/1,267.44
  6. Step 6: Final answer
    x = 789.93

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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.