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Finding the Fourth Proportional to 914.67, 1,368.96 and 804.92

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Solution

The fourth proportional to 914.67, 1,368.96 and 804.92 is: 1,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.67 : 1,368.96 = 804.92 : x
  2. Step 2: Convert to fraction form
    914.67/1,368.96 = 804.92/x
  3. Step 3: Cross multiply
    914.67x = 1,368.96 × 804.92
  4. Step 4: Simplify right side
    914.67x = 1,101,903.28
  5. Step 5: Solve for x
    x = 1,101,903.28/914.67
  6. Step 6: Final answer
    x = 1,204.70

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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.