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Finding the Fourth Proportional to 1,104.36, 1,657.85 and 873.42

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Solution

The fourth proportional to 1,104.36, 1,657.85 and 873.42 is: 1,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.36 : 1,657.85 = 873.42 : x
  2. Step 2: Convert to fraction form
    1,104.36/1,657.85 = 873.42/x
  3. Step 3: Cross multiply
    1,104.36x = 1,657.85 × 873.42
  4. Step 4: Simplify right side
    1,104.36x = 1,447,999.35
  5. Step 5: Solve for x
    x = 1,447,999.35/1,104.36
  6. Step 6: Final answer
    x = 1,311.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.