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Finding the Fourth Proportional to 1,269.74, 1,904.57 and 575.90

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Solution

The fourth proportional to 1,269.74, 1,904.57 and 575.90 is: 863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.74 : 1,904.57 = 575.90 : x
  2. Step 2: Convert to fraction form
    1,269.74/1,904.57 = 575.90/x
  3. Step 3: Cross multiply
    1,269.74x = 1,904.57 × 575.90
  4. Step 4: Simplify right side
    1,269.74x = 1,096,841.86
  5. Step 5: Solve for x
    x = 1,096,841.86/1,269.74
  6. Step 6: Final answer
    x = 863.83

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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.