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Finding the Fourth Proportional to 1,102.08, 1,530.84 and 1,084.44

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Solution

The fourth proportional to 1,102.08, 1,530.84 and 1,084.44 is: 1,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.08 : 1,530.84 = 1,084.44 : x
  2. Step 2: Convert to fraction form
    1,102.08/1,530.84 = 1,084.44/x
  3. Step 3: Cross multiply
    1,102.08x = 1,530.84 × 1,084.44
  4. Step 4: Simplify right side
    1,102.08x = 1,660,104.13
  5. Step 5: Solve for x
    x = 1,660,104.13/1,102.08
  6. Step 6: Final answer
    x = 1,506.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.