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Finding the Fourth Proportional to 1,223.94, 1,687.86 and 804.57

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Solution

The fourth proportional to 1,223.94, 1,687.86 and 804.57 is: 1,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.94 : 1,687.86 = 804.57 : x
  2. Step 2: Convert to fraction form
    1,223.94/1,687.86 = 804.57/x
  3. Step 3: Cross multiply
    1,223.94x = 1,687.86 × 804.57
  4. Step 4: Simplify right side
    1,223.94x = 1,358,001.52
  5. Step 5: Solve for x
    x = 1,358,001.52/1,223.94
  6. Step 6: Final answer
    x = 1,109.53

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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.