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Finding the Fourth Proportional to 917.88, 1,376.80 and 736.44

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Solution

The fourth proportional to 917.88, 1,376.80 and 736.44 is: 1,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.88 : 1,376.80 = 736.44 : x
  2. Step 2: Convert to fraction form
    917.88/1,376.80 = 736.44/x
  3. Step 3: Cross multiply
    917.88x = 1,376.80 × 736.44
  4. Step 4: Simplify right side
    917.88x = 1,013,930.59
  5. Step 5: Solve for x
    x = 1,013,930.59/917.88
  6. Step 6: Final answer
    x = 1,104.64

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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.