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Finding the Fourth Proportional to 917.85, 1,375.73 and 455.95

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Solution

The fourth proportional to 917.85, 1,375.73 and 455.95 is: 683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.85 : 1,375.73 = 455.95 : x
  2. Step 2: Convert to fraction form
    917.85/1,375.73 = 455.95/x
  3. Step 3: Cross multiply
    917.85x = 1,375.73 × 455.95
  4. Step 4: Simplify right side
    917.85x = 627,257.21
  5. Step 5: Solve for x
    x = 627,257.21/917.85
  6. Step 6: Final answer
    x = 683.40

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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.