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Finding the Fourth Proportional to 917.70, 1,377.22 and 431.09

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Solution

The fourth proportional to 917.70, 1,377.22 and 431.09 is: 646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.70 : 1,377.22 = 431.09 : x
  2. Step 2: Convert to fraction form
    917.70/1,377.22 = 431.09/x
  3. Step 3: Cross multiply
    917.70x = 1,377.22 × 431.09
  4. Step 4: Simplify right side
    917.70x = 593,705.77
  5. Step 5: Solve for x
    x = 593,705.77/917.70
  6. Step 6: Final answer
    x = 646.95

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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.