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Finding the Fourth Proportional to 880.60, 1,213.76 and 683.88

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Solution

The fourth proportional to 880.60, 1,213.76 and 683.88 is: 942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.60 : 1,213.76 = 683.88 : x
  2. Step 2: Convert to fraction form
    880.60/1,213.76 = 683.88/x
  3. Step 3: Cross multiply
    880.60x = 1,213.76 × 683.88
  4. Step 4: Simplify right side
    880.60x = 830,066.19
  5. Step 5: Solve for x
    x = 830,066.19/880.60
  6. Step 6: Final answer
    x = 942.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.