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Finding the Fourth Proportional to 1,004.85, 1,385.93 and 873.33

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Solution

The fourth proportional to 1,004.85, 1,385.93 and 873.33 is: 1,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.85 : 1,385.93 = 873.33 : x
  2. Step 2: Convert to fraction form
    1,004.85/1,385.93 = 873.33/x
  3. Step 3: Cross multiply
    1,004.85x = 1,385.93 × 873.33
  4. Step 4: Simplify right side
    1,004.85x = 1,210,369.88
  5. Step 5: Solve for x
    x = 1,210,369.88/1,004.85
  6. Step 6: Final answer
    x = 1,204.53

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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.