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Finding the Fourth Proportional to 917.57, 1,375.32 and 478.15

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Solution

The fourth proportional to 917.57, 1,375.32 and 478.15 is: 716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.57 : 1,375.32 = 478.15 : x
  2. Step 2: Convert to fraction form
    917.57/1,375.32 = 478.15/x
  3. Step 3: Cross multiply
    917.57x = 1,375.32 × 478.15
  4. Step 4: Simplify right side
    917.57x = 657,609.26
  5. Step 5: Solve for x
    x = 657,609.26/917.57
  6. Step 6: Final answer
    x = 716.69

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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.